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Past Scientific Events

  1. Workshop Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations

    Organizers: Kay Kirkpatrick (University of Illinois at Urbana-Champaign), LEAD Yvan Martel (École Polytechnique), LEAD Luc Rey-Bellet (University of Massachusetts, Amherst), Gigliola Staffilani (Massachusetts Institute of Technology)

    The purpose of the program New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems is to bring together a core group of mathematicians from the dispersive PDE and the SPDE communities whose research contains an underlying and unifying problem:  analyzing high or infinite dimensional dynamics, where dynamics is understood in a broad sense and arising from the flows generated by either deterministic or stochastic partial differential equations, or from dynamical evolution of large physical systems.

    The introductory workshop will serve as an overview to the program.  It aims at familiarizing graduate students, postdocs, and other researchers to the major topics of the program through short courses and discussions.

    Updated on Aug 28, 2015 03:44 PM PDT
  2. Workshop Connections for Women: Dispersive and Stochastic PDE

    Organizers: LEAD Kay Kirkpatrick (University of Illinois at Urbana-Champaign), Andrea Nahmod (University of Massachusetts, Amherst)

    This workshop will consist of various talks given by prominent female mathematicians whose research lies in and interfaces with the fields of nonlinear evolution dispersive PDE, wave phenomena and stochastic processes.  These talks will be appropriate for graduate students, post-docs, and researchers in areas above mentioned.  The workshop will allocate ample time for group discussions and will include a professional development session.

    This workshop is open to all mathematicians.

    Updated on Aug 26, 2015 01:50 PM PDT
  3. Summer Graduate School Incompressible Fluid Flows at High Reynolds Number

    Organizers: Jacob Bedrossian (University of Maryland), LEAD Vlad Vicol (Princeton University)

    The purpose of this two week workshop is to introduce graduate students to state-of-the-art methods and results in mathematical fluid dynamics. In the first week, we will discuss the mathematical foundations and modern analysis aspects of the Navier-Stokes and Euler equations. In the second week, we will run two courses concurrently on the topics of inviscid limits and hydrodynamic stability. Specifically, one course will focus on boundary layers in high Reynolds number flows and the Prandtl equations while the other will focus on mixing and connections to turbulence. Through the lectures and associated problem sessions, the students will learn about a number of new analysis tools and principles of fluid mechanics that are not always taught in a graduate school curriculum.

    Updated on Aug 07, 2015 11:47 AM PDT
  4. Summer Graduate School Gaps between Primes and Analytic Number Theory

    Organizers: Dimitris Koukoulopoulos (Université de Montréal), LEAD Emmanuel Kowalski (Eidgenössische TH Zürich-Hönggerberg), James Maynard (University of Oxford), Kannan Soundararajan (Stanford University)

    These courses will give students a full overview of the results of Zhang and Maynard on gaps between primes, and will provide them will a clear understanding of the tools involved. This will make accessible a significant part of modern analytic number theory. The lecturers will also make sure to include, within their course, examples and discussions going further than is strictly required to understand the proofs of Zhang and Maynard, e.g., in the direction of automorphic forms and the Riemann Hypothesis over finite fields.

    Updated on Jul 28, 2015 02:49 PM PDT
  5. Summer Graduate School Berkeley summer course in mining and modeling of neuroscience data

    Organizers: Ingrid Daubechies (Duke University), Bruno Olshausen (University of California, Berkeley), Christos Papadimitriou (University of California, Berkeley), Fritz Sommer (University of California, Berkeley), LEAD Jeff Teeters (University of California, Berkeley)

    This course is for students and researchers with backgrounds in mathematics and computational sciences who are
    interested in applying their skills toward problems in neuroscience. It will introduce the major open questions of
    neuroscience and teach state-of–the-art techniques for analyzing and modeling neuroscience data sets. The course is designed for students at the graduate level and researchers with background in a quantitative field such as
    engineering, mathematics, physics or computer science who may or may not have a specific neuroscience
    background. The goal of this summer course is to help researchers find new exciting research areas and at the same time to strengthen quantitative expertise in the field of neuroscience. The course is sponsored by the National Science Foundation from a grant supporting activities at the data sharing repository CRCNS.org, the Helen Wills
    Neuroscience Institute, the Simons Institute for the Theory of Computing and the Mathematical Science Research
    Institute.

    Updated on Feb 23, 2015 03:59 PM PST
  6. Summer Graduate School NIMS Summer School on Random Matrix Theory

    Organizers: LEAD Jinho Baik (University of Michigan)

    This summer graduate school will take place at the National Institute for Mathematical Sciences in Daejeon, South Korea.  The purpose of this summer school is to introduce some of the basic ideas and methods of random matrix theory to graduate students.  In particular there will be three lecture series on random matrix theory from three different perspectives: from the view points of the integrable structures, the moment method, and the Stieltjes transorm technique.  In addition to the lectures, there will be discussion sessions, and the students will also have plenty of time to interact with the lecturers and with other students.

    Please note that accepted students will be provided up to $1700 in travel reimbursement, in addition to meals and accommodation.

    Updated on Nov 20, 2014 12:02 PM PST
  7. Summer Graduate School Mathematical Topics in Systems Biology

    Organizers: LEAD Steven Altschuler (University of California, San Francisco), Lani Wu (UCSF)

    This Summer Graduate School will introduce mathematics graduate students to the rapidly emerging area of systems biology. In particular, we will focus on the design and emergent behaviors of molecular networks used by cells to interpret their environments and create robust temporal-spatial behaviors. This will be a very hands-on workshop with students working alone and in teams to program and present key ideas.

    Updated on Jun 03, 2015 12:21 PM PDT
  8. Summer Graduate School Seminaire de Mathematiques Superieures 2015: Geometric and Computational Spectral Theory

    Organizers: Alexandre Girouard (Laval University), Dmitry Jakobson (McGill University), Michael Levitin (University of Reading), Nilima Nigam (Simon Fraser University), Iosif Polterovich (Université de Montréal), Frederic Rochon (Université du Québec à Montréal)

    The lectures will focus on the following four topics: geometry of eigenvalues, geometry of eigenfunctions, spectral theory on manifolds with singularities and computational spectral theory. There has been a number of remarkable recent developments in these closely related fields. The goal of the school is to shed light on different facets of modern spectral theory and to provide a unique opportunity for graduate students and young researchers to get a “big picture” of this rapidly evolving area of mathematics. A particularly novel aspect of the school is the emphasis on the interactions between spectral geometry and computational spectral theory.

    Updated on Jan 28, 2015 10:59 AM PST
  9. Summer Graduate School Geometric Group Theory

    Organizers: LEAD John Mackay (University of Bristol), Anne Thomas (University of Glasgow), Kevin Wortman (University of Utah)

    The aim of this workshop is to introduce graduate students to some specific core topics which will be under study at the upcoming MSRI program on Geometric Group Theory (GGT) in 2016.  GGT encompasses a wide range of topics. The four minicourse topics have been chosen because they are central themes in GGT and in the upcoming MSRI program. Moreover, each topic is accessible to students with a range of backgrounds: the basic definitions are straightforward, with many simple and illuminating examples to work through, yet lead through to important questions in current research.

    Updated on Jul 06, 2015 03:14 PM PDT
  10. Summer Graduate School CRM-PIMS Summer School in Probability

    Organizers: LEAD Louigi Addario-Berry (McGill University), Omer Angel, Louis-Pierre Arguin, Martin Barlow, Edwin Perkins, Lea Popovic (Concordia University)

    The 2015 CRM-PIMS Summer School in Probability will take place in Montreal, Canada, from June 15-July 11, 2015. The school is built around two principal 24-hour lecture courses, which will be delivered by Alice Guionnet (random matrices, free probability and the enumeration of maps) and Remco van der Hofstad (high-dimensional percolation and random graphs). There will additionally be mini-courses by Louigi Addario-Berry (random minimum spanning trees), Shankar Bhamidi (dynamic random network models) and Jonathan Mattingly (stabilization by noise). Some time is reserved for participants to present their own work.

    Updated on Nov 03, 2014 09:28 AM PST
  11. Program Summer Research

    Come spend time at MSRI in the summer! The Institute’s summer graduate schools and undergraduate program fill the lecture halls and some of the offices, but we have room for a modest number of visitors to come to do research singly or in small groups, while enjoying the excellent mathematical facilities, the great cultural opportunities of Berkeley, San Francisco and the Bay area, the gorgeous natural surroundings, and the cool weather.

    We can provide offices, library facilities and bus passes—unfortunately not financial support. Though the auditoria are largely occupied, there are blackboards and ends of halls, so 2-6 people could comfortably collaborate with one another. We especially encourage such groups to apply together.

    To make visits productive, we require at least a two-week commitment.  We strive for a wide mix of people, being sure to give special consideration to women, under-represented groups, and researchers from non-research universities.  

    Updated on May 06, 2015 11:36 AM PDT
  12. MSRI-UP MSRI-UP 2015: Geometric Combinatorics Motivated by the Social Sciences

    Organizers: Federico Ardila (San Francisco State University), LEAD Duane Cooper (Morehouse College), Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2015 program will be led by Prof. Francis Su from Harvey Mudd College.

    Updated on Jul 27, 2015 01:57 PM PDT
  13. Workshop Partnerships: a Workshop on Collaborations between the NSF/MPS and Private Foundations

    Organizers: Cynthia Atherton (Heising-Simons Foundation), Paulette Clancy (Cornell University), LEAD David Eisenbud (MSRI - Mathematical Sciences Research Institute), Thomas Everhart (California Institute of Technology), Caty Pilachowski (Indiana University, Bloomington), Robert Shelton (Research Corporation for Science Advancement), Yuri Tschinkel (New York University, Courant Institute)

    The National Science Foundation (NSF) and non-profit organizations each provide critical support to the U.S. basic research enterprise in the mathematical and physical sciences. While the missions of these funders differ, many of their goals align and the grantee communities have significant overlap. With the ultimate aim of helping to advance the scientific frontier in the most effective way, we propose to hold a workshop to examine partnerships between the Directorate of Mathematical and Physical Sciences (MPS) at NSF and non-profit funders in MPS-related disciplines to
    •       understand different models of collaboration (the “how”);
    •       understand different motivations for collaboration (the “why”); and
    •       develop opportunities for future communication and/or collaboration.

    Updated on May 20, 2015 01:38 PM PDT
  14. Workshop Advances in Homogeneous Dynamics

    Organizers: LEAD Dmitry Kleinbock (Brandeis University), Hee Oh (Yale University), Alireza Salehi Golsefidy (University of California, San Diego), Ralf Spatzier (University of Michigan)

    The Advances in Homogeneous Dynamics workshop will feature the speakers whose work is at the forefront of the field. There will be a panel discussion accompanied by an open problem session to lay out possible directions for the research in homogeneous dynamics. Talks will be in a broad range of topics and this will help to build more connections between researchers interested in dynamical systems, number theory and geometry. For example we hope that the involvement of the participants of the other program held at MSRI during the same academic year (Dynamics on Moduli Spaces of Geometric Structures, Spring 2015) would create new connections between the topics. There will be shorter talks presented by early-career researchers

    Updated on Jun 02, 2015 09:19 AM PDT
  15. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2015

    Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Created on Apr 06, 2015 03:13 PM PDT
  16. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:29 AM PST
  17. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:28 AM PST
  18. Workshop Dynamics on Moduli Spaces

    Organizers: Marc Burger (Eidgenössische TH Zürich-Hönggerberg), LEAD David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Université de Nice Sophia Antipolis), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

    The Research Workshop of the ``Dynamics on moduli spaces of geometric structures'' will concentrate on some of the following general interrelated themes:

    (1) Geometric structures on the spaces of geometric structures which extend and generalize classical constructions on Teichmüller spaces, such as the Weil-Petersoon metric, the pressure metric, the Teichmüller metric and its geodesic flow, Fenchel-Nielsen coordinates, Fock-Goncharov Thurson-Penner coordinates, and the symplectic and Poisson  geometries

    (2) Relations with harmonic maps, Riemann surfaces, complex geometry:  specifically Higgs  bundles, holomorphic differentials (quadratic, cubic, etc.) as parameters  for representations  of the fundamental group, hyperkähler and complex symplectic geometry of  moduli spaces,   lifts of Teichmüller geodesic flows to flat bundles of character varieties

    (3) Asymptotic properties of higher Teichmüller spaces, including generalized measured geodesic laminations, Culler-Morgan-Shalen asymptotics of character varieties, degenerations of geometric structures and discrete subgroups

    (4) Actions of mapping class groups and outer automorphism groups,  properness criteria for Anosov representations and their generalizations,  properness criteria for non-discrete representations, chaotic actions of  mapping class groups and the monodromy map from structures to  representations

    (5) Classification of exotic geometric structures, tameness criteria, generalizations of ending lamination-type invariants to higher rank structures, rigidity and flexibility for thin subgroups, arithmeticity conditions, and geometric transitions

    Updated on May 01, 2015 09:18 AM PDT
  19. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:25 AM PST
  20. Seminar Minicourse

    Created on Mar 23, 2015 09:57 AM PDT
  21. Seminar Minicourse

    Created on Feb 23, 2015 10:43 AM PST
  22. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:23 AM PST
  23. Seminar Minicourse

    Created on Feb 23, 2015 10:40 AM PST
  24. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:22 AM PST
  25. Workshop Hot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond

    Organizers: Sorin Popa (University of California), LEAD Daniel Spielman (Yale University), Nikhil Srivastava (University of California, Berkeley), Cynthia Vinzant (North Carolina State University)

    In a recent paper, Marcus, Spielman and Srivastava solve the Kadison-Singer Problem by proving Weaver's KS2 conjecture and the Paving Conjecture. Their proof involved a technique they called the “method of interlacing families of polynomials” and a “barrier function” approach to proving bounds on the locations of the zeros of real stable polynomials. Using these techniques, they have also proved that there are infinite families of Ramanujan graphs of every degree, and they have developed a very simple proof of Bourgain and Tzafriri's Restricted Invertibility Theorem. The goal of this workshop is to help build upon this recent development by bringing together researchers from the disparate areas related to these techniques, including Functional Analysis, Spectral Graph Theory, Free Probability, Convex Optimization, Discrepancy Theory, and Real Algebraic Geometry.

    Updated on Mar 30, 2015 12:51 PM PDT
  26. Seminar Women in Science

    Updated on Feb 05, 2015 12:10 PM PST
  27. Seminar Minicourse

    Updated on Feb 23, 2015 10:37 AM PST
  28. Seminar Open ended seminar

    Updated on Mar 06, 2015 09:53 AM PST
  29. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:21 AM PST
  30. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2015

    Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Updated on Feb 12, 2015 01:23 PM PST
  31. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:19 AM PST
  32. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:18 AM PST
  33. Workshop Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: Manfred Einsiedler (Eidgenössische TH Zürich-Hönggerberg), Dmitry Kleinbock (Brandeis University), LEAD Jean-François Quint (Université de Bordeaux I), Barbara Schapira (Université de Picardie (Jules Verne))

    This Introductory Workshop will consist of several introductory lectures and series of lectures on the recent trends in the field, given by experts in the domain. In addition, there will be several shorter talks by young researchers.

    Please note that immediately preceding this workshop there is a Connections for Women workshop which will also be introductory in nature.

    Updated on Feb 09, 2015 10:00 AM PST
  34. Workshop Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: Elon Lindenstrauss (Hebrew University), LEAD Hee Oh (Yale University)

    This workshop will consist of several mini-courses given by prominent female mathematicians in the field, intended for graduate students, post-docs, and researchers in areas related to the program. The workshop will also include an informal panel discussion session among female researchers on career issues. This workshop is open to all mathematicians.

    Updated on Feb 09, 2015 10:05 AM PST
  35. Workshop Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Universität Bonn), Alessandra Iozzi (ETHZ)

    The deformation theory of geometric structures on manifolds  is a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theory, and complex analysis.

    The introductory workshop will serve  as an overview to the  program.   It aims to familiarize graduate students, post-docs, and other researchers to the major topics of the program. There will be a number of short courses.

    Updated on Jan 26, 2015 01:25 PM PST
  36. Program Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: LEAD Dmitry Kleinbock (Brandeis University), Elon Lindenstrauss (Hebrew University), Hee Oh (Yale University), Jean-François Quint (Université de Bordeaux I), Alireza Salehi Golsefidy (University of California, San Diego)

    Homogeneous dynamics is the study of asymptotic properties of the action of subgroups of Lie groups on their homogeneous spaces. This includes many classical examples of dynamical systems, such as linear Anosov diffeomorphisms of tori and geodesic flows on negatively curved manifolds. This topic is related to many branches of mathematics, in particular, number theory and geometry. Some directions to be explored in this program include: measure rigidity of multidimensional diagonal groups; effectivization, sparse equidistribution and sieving; random walks, stationary measures and stiff actions; ergodic theory of thin groups; measure classification in positive characteristic. It is a companion program to “Dynamics on moduli spaces of geometric structures”.

    Updated on Jan 12, 2015 10:58 AM PST
  37. Workshop Connections for Women: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Virginie Charette (University of Sherbrooke), LEAD Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois)), Karin Melnick (University of Maryland), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

    This two-day workshop will consist of various talks given by prominent female mathematicians in the field.  These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The workshop will also include a professional development session.

    This workshop is open to all mathematicians.

    Updated on Jan 21, 2015 12:34 PM PST
  38. Program Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), William Goldman (University of Maryland), François Labourie (Université de Nice Sophia Antipolis), LEAD Howard Masur (University of Chicago), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

    The program will focus on the deformation theory of geometric structures on manifolds, and the resulting geometry and dynamics. This subject is formally a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theory, and complex analysis.

    Updated on Apr 03, 2015 01:06 PM PDT
  39. Seminar GRT Pizza Seminar

    Updated on Sep 03, 2014 04:22 PM PDT
  40. Seminar GRT Research Seminar

    Created on Sep 03, 2014 12:39 PM PDT
  41. Workshop Automorphic forms, Shimura varieties, Galois representations and L-functions

    Organizers: LEAD Pierre Colmez (Institut de Mathématiques de Jussieu), Stephen Kudla (University of Toronto), Elena Mantovan (California Institute of Technology), Ariane Mézard (Institut de Mathématiques de Jussieu), Richard Taylor (Institute for Advanced Study)

    L-functions attached to Galois representations coming from algebraic geometry contain subtle arithmetic information (conjectures of Birch and Swinnerton-Dyer, Deligne, Beilinson, Bloch and Kato, Fontaine and Perrin-Riou). Langlands has predicted the existence of a correspondence relating these L-functions to L-functions of automorphic forms which are much better understood. The workshop will focus on recent developments related to Langlands correspondence (construction of Galois representations attached to automorphic forms via the cohomology of Shimura varieties, modularity of Galois representations...) and arithmetic of special values of L-functions.

    It will be dedicated to Michael Harris as a tribute to his enormous influence on the themes of the workshop.

    Updated on Dec 08, 2014 09:34 AM PST
  42. Seminar Number Theory Seminar

    Created on Sep 12, 2014 01:29 PM PDT
  43. Seminar GRT Research Seminar

    Created on Sep 03, 2014 12:26 PM PDT
  44. Workshop Categorical Structures in Harmonic Analysis

    Organizers: Thomas Haines (University of Maryland), Florian Herzig (University of Toronto), LEAD David Nadler (University of California, Berkeley)

    The workshop will focus on the role of categorical structures in number theory and harmonic analysis, with an emphasis on the setting of the Langlands program. Celebrated examples of this theme range from Lusztig's character sheaves to Ngo's proof of the Fundamental Lemma. The workshop will be a forum for researchers from a diverse collection of fields to compare problems and strategies for solutions.

    Updated on Nov 19, 2014 12:12 PM PST
  45. Seminar Gone Fishing 2014

    Updated on Nov 03, 2014 01:28 PM PST
  46. Seminar Math of YouTube

    Updated on Oct 31, 2014 10:18 AM PDT
  47. Workshop Bay Area Differential Geometry Seminar (BADGS) Fall 2014

    Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Location: Mathematical Sciences Research Institute, Berkeley CA

    Updated on Sep 24, 2014 01:43 PM PDT
  48. Seminar GRT Research Seminar

    Created on Sep 03, 2014 11:53 AM PDT
  49. Workshop Breaking the Neural Code

    Organizers: Larry Abbott (Columbia University), Ingrid Daubechies (Duke University), Michael Jordan (University of California), LEAD Liam Paninski (Columbia University)

    For decades, neuroscientists have dreamed about the possibility of recording from all the neurons in a brain, or of having access to a complete large brain wiring diagram, or ideally to obtain both of these datasets simultaneously, in the same brain.  Recent technical advances have brought this dream close to reality in some cases.  Now the challenge will be to understand these massive datasets.  A few domains will be particularly relevant:

    • Inferring network structure from noisy and incomplete data
    • Inferring computational input-output function from structure
    • Optimal experimental design (incl. compressive sensing methods) for observation of networks
    • Modeling structured stochastic network dynamics
    • Optimal control of network dynamics
    • Inferring low-dimensional dynamics from high-dimensional observations

    There’s a strong need in neuroscience for deep new ideas from mathematics and statistics, and our hope is that this small, focused workshop without many formal talks will spark collaborations that will lead to breakthroughs in the areas described above.

    This workshop is by invitation only.

    This workshop is supported by a generous donation from Sanford Grossman.

    Updated on Oct 29, 2014 12:22 PM PDT
  50. Seminar Colloquium

    Created on Sep 02, 2014 12:49 PM PDT
  51. Seminar GRT Pizza Seminar

    Updated on Sep 03, 2014 03:44 PM PDT
  52. Seminar Grad Student Seminar

    Updated on Sep 18, 2014 10:53 AM PDT
  53. Seminar Fall 2014 5-Minute Talks

    Updated on Sep 02, 2014 08:16 PM PDT
  54. Seminar Fall 2014 5-Minute Talks

    Created on Sep 02, 2014 08:13 PM PDT
  55. Seminar GRT Pizza Seminar

    Updated on Sep 03, 2014 03:37 PM PDT
  56. Seminar Organizational Meeting

    Updated on Sep 08, 2014 02:08 PM PDT
  57. Workshop Introductory Workshop: Geometric Representation Theory

    Organizers: David Ben-Zvi (University of Texas), Kevin McGerty (University of Oxford)

    Geometric Representation Theory is a very active field, at the center of recent advances in Number Theory and Theoretical Physics. The principal goal of the Introductory Workshop will be to provide a gateway for graduate students and new post-docs to the rich and exciting, but potentially daunting, world of geometric representation theory. The aim is to explore some of the fundamental tools and ideas needed to work in the subject, helping build a cohort of young researchers versed in the geometric and physical sides of the Langlands philosophy.

    Updated on Oct 28, 2014 01:29 PM PDT
  58. Workshop Connections for Women: Geometric Representation Theory

    Organizers: LEAD Monica Vazirani (University of California, Davis), Eva Viehmann (TU München)

    Within the broad range of geometric representation theory the Connections Workshop will focus on three research topics in which we expect particularly striking new developments within the next few years:
    * Categorical and geometric structures in representation theory and Lie superalgebras
    * Geometric construction of representations via Shimura varieties and related moduli spaces
    * Hall algebras and representations

    The workshop will bring together researchers from these different topics within geometric representation theory and will thus facilitate a successful start of the semester program. It will give junior researchers from each of these parts of geometric representation theory a broader picture of possible applications and of new developments, and will establish a closer contact between junior and senior researchers.
    This workshop is aimed at encouraging and increasing the active participation of women and members of under-represented groups in the MSRI program. 

    All are welcome to participate in the scientific portions of the workshop and the panel discussion, regardless of gender.

    Updated on Sep 16, 2014 03:12 PM PDT
  59. Workshop Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms

    Organizers: Laurent Berger (École Normale Supérieure de Lyon), Ariane Mézard (Institut de Mathématiques de Jussieu), LEAD Akshay Venkatesh (Stanford University), Shou-Wu Zhang (Princeton University)

    The goal of this workshop is to give a practical introduction to some of the main topics and techniques related to the August-December 2014 MSRI program, "New geometric methods in number theory and automorphic forms."   The workshop is aimed at graduate students and interested researchers in number theory or related fields.  

    There will be  lecture series on periods of automorphic forms, Shimura varieties, and representations of p-adic groups,as well as more advanced topics, including p-adic Hodge theory and the cohomology of arithmetic groups.  

    Updated on Aug 29, 2014 09:33 AM PDT
  60. Program Geometric Representation Theory

    Organizers: LEAD David Ben-Zvi (University of Texas), Ngô Bảo Châu (University of Chicago), Thomas Haines (University of Maryland), Florian Herzig (University of Toronto), Kevin McGerty (University of Oxford), David Nadler (University of California, Berkeley), Catharina Stroppel (Hausdorff Research Institute for Mathematics, University of Bonn), Eva Viehmann (TU München)

    The fundamental aims of geometric representation theory are to uncover the deeper geometric and categorical structures underlying the familiar objects of representation theory and harmonic analysis, and to apply the resulting insights to the resolution of classical problems. One of the main sources of inspiration for the field is the Langlands philosophy, a vast nonabelian generalization of the Fourier transform of classical harmonic analysis, which serves as a visionary roadmap for the subject and places it at the heart of number theory. A primary goal of the proposed MSRI program is to explore the potential impact of geometric methods and ideas in the Langlands program by bringing together researchers working in the diverse areas impacted by the Langlands philosophy, with a particular emphasis on representation theory over local fields.

    Another focus comes from theoretical physics, where new perspectives on the central objects of geometric representation theory arise in the study supersymmetric gauge theory, integrable systems and topological string theory. The impact of these ideas is only beginning to be absorbed and the program will provide a forum for their dissemination and development.

    Updated on Aug 13, 2014 09:08 AM PDT
  61. Workshop Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms

    Organizers: Wenching Li (Pennsylvania State University), LEAD Elena Mantovan (California Institute of Technology), Sophie Morel (Princeton University), Ramdorai Sujatha (University of British Columbia)

    This 2-day workshop will showcase the contributions of female mathematicians to the three main themes of the associated MSRI program: Shimura varieties, p-adic automorphic forms, periods and L-functions. It will bring together women who are working in these areas in all stages of their careers, featuring lectures by both established leaders and emerging researchers. In addition, there will be a poster session open to all participants and an informal panel discussion on career issues.

    Updated on Aug 27, 2014 04:44 PM PDT
  62. Program New Geometric Methods in Number Theory and Automorphic Forms

    Organizers: Pierre Colmez (Institut de Mathématiques de Jussieu), LEAD Wee Teck Gan (National University of Singapore), Michael Harris (Institut de Mathématiques de Jussieu), Elena Mantovan (California Institute of Technology), Ariane Mézard (Institut de Mathématiques de Jussieu), Akshay Venkatesh (Stanford University)

    The branches of number theory most directly related to the arithmetic of automorphic forms have seen much recent progress, with the resolution of many longstanding conjectures. These breakthroughs have largely been achieved by the discovery of new geometric techniques and insights. The goal of this program is to highlight new geometric structures and new questions of a geometric nature which seem most crucial for further development. In particular, the program will emphasize geometric questions arising in the study of Shimura varieties, the p-adic Langlands program, and periods of automorphic forms.

    Updated on Oct 11, 2013 02:02 PM PDT
  63. Summer Graduate School Geometry and Analysis

    Organizers: Hans-Joachim Hein (Imperial College, London), LEAD Aaron Naber (Massachusetts Institute of Technology)

    Geometric and complex analysis is the application of tools from analysis to study questions from geometry and topology. This two week summer course will provide graduate students with the necessary background to begin studies in the area. The first week will consist of introductory courses on geometric analysis, complex analysis, and Riemann surfaces. The second week will consist of more advanced courses on the regularity theory of Einstein manifolds, Kahler-Einstein manifolds, and the analysis of Riemann surfaces.

    Updated on Aug 11, 2014 12:16 PM PDT
  64. Summer Graduate School Stochastic Partial Differential Equations

    Organizers: Yuri Bakhtin (New York University, Courant Institute), LEAD Ivan Corwin (Columbia University), James Nolen (Duke University)

    Stochastic Partial Differential Equations (SPDEs) serve as fundamental models of physical systems subject to random inputs, interactions or environments. It is a particular challenge to develop tools to construct solutions, prove robustness of approximation schemes, and study properties like ergodicity and fluctuation statistics for a wide variety of SPDEs. 

    The purpose of this two week workshop is to educate graduate students on the state-of-the-art methods and results in SPDEs. The three courses which will be run simultaneously will highlight different (though related) aspects of this area including (1) Fluctuation theory of PDEs with random coefficients (2) Ergodic theory of SPDEs and (3) Exact solvability of SPDEs

    Updated on Jun 24, 2014 02:31 PM PDT
  65. Summer Graduate School Algebraic Topology

    Organizers: LEAD Jose Cantarero-Lopez (Centro de Investigación en Matemáticas), LEAD Michael Hill (University of Virginia)

    Modern algebraic topology is a broad and vibrant field which has seen recent progress on classical problems as well as exciting new interactions with applied mathematics. This summer school will consist of a series of lecture by experts on major research directions, including several lectures on applied algebraic topology. Participants will also have the opportunity to have guided interaction with the seminal texts in the field, reading and speaking about the foundational papers.

    Videos of selected lectures may be found here.

    Updated on Jan 15, 2015 11:27 AM PST
  66. Summer Graduate School IAS/PCMI 2014: Mathematics and Materials

    Organizers: Mark Bowick (Syracuse University), David Kinderlehrer (Carnegie Mellon University), Govind Menon (Brown University), Charles Radin (University of Texas)

    The program in 2014 will bring together a diverse group of mathematicians and scientists with interests in fundamental questions in mathematics and the behavior of materials. The meeting addresses several themes including computational investigations of material properties, the emergence of long- range order in materials and self-assembly, the geometry of soft condensed matter and the calculus of variations, phase transitions and statistical mechanics. The program will cover several topics in discrete and differential geometry that are motivated by questions in materials science. Many central topics, such as the geometry of packings, problems in the calculus of variations and phase transitions, will be discussed from the complementary points of view of mathematicians and physicists.

    Updated on Mar 06, 2014 12:12 PM PST
  67. MSRI-UP MSRI-UP 2014: Arithmetic Aspects of Elementary Functions

    Organizers: Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), LEAD Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2014 program will be led by Dr. Victor Moll from Tulane University.

    Updated on Apr 02, 2015 01:15 PM PDT
  68. Summer Graduate School Dispersive Partial Differential Equations

    Organizers: Natasa Pavlovic (University of Texas), Nikolaos Tzirakis (University of Illinois at Urbana-Champaign)

    The purpose of the workshop is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE).

    Dispersive equations have received a great deal of attention from mathematicians because of their applications to nonlinear optics, water wave theory and plasma physics. We will outline the basic tools of the theory that were developed with the help of multi-linear Harmonic Analysis techniques. The exposition will be as self-contained as possible.

    Updated on Jun 16, 2014 10:14 AM PDT
  69. Workshop Model Theory in Geometry and Arithmetic

    Organizers: Raf Cluckers (Université de Lille I (Sciences et Techniques de Lille Flandres Artois)), LEAD Jonathan Pila (University of Oxford), Thomas Scanlon (University of California, Berkeley)

    The workshop will feature talks in a range of topics where model theory interacts with other parts of mathematics, especially number theory and arithmetic geometry, including: motivic integration, algebraic dynamics, diophantine geometry, and valued fields.

    Updated on May 27, 2014 01:57 PM PDT
  70. Seminar AT Postdoc Seminar

    Created on Feb 07, 2014 09:37 AM PST
  71. Seminar AT Seminar

    Created on Apr 14, 2014 09:17 AM PDT
  72. Workshop Reimagining the Foundations of Algebraic Topology

    Organizers: Vigleik Angeltveit (Australian National University), Mark Behrens (Massachusetts Institute of Technology), Julie Bergner (University of California), LEAD Andrew Blumberg (University of Texas)

    Recent innovations in higher category theory have unlocked the potential to reimagine the basic tools and constructions in algebraic topology. This workshop will explore the interplay between these higher and $\infty$-categorical techniques with classical algebraic topology, playing each off of the other and returning the field to conceptual, geometrical intuition.

    Updated on Apr 15, 2014 11:30 AM PDT
  73. Seminar MT Postdoc Seminar

    Created on Feb 06, 2014 09:21 AM PST
  74. Seminar MT Basics

    Created on Mar 21, 2014 02:26 PM PDT
  75. Seminar Conformal Field Theory

    Created on Feb 19, 2014 08:13 AM PST
  76. Seminar Bowen Lectures

    Created on Jul 22, 2013 02:42 PM PDT
  77. Seminar MT Postdoc Seminar

    Updated on Feb 07, 2014 03:51 PM PST
  78. Seminar Conformal Field Theory

    Created on Feb 19, 2014 08:07 AM PST
  79. Workshop Hot Topics: Perfectoid Spaces and their Applications

    Organizers: Sophie Morel (Princeton University), Peter Scholze (Universität Bonn), LEAD Richard Taylor (Institute for Advanced Study), Jared Weinstein (Boston University)

    Since their introduction just two years ago, perfectoid spaces have played a crucial role in a number of striking advances in arithmetic algebraic geometry: the proof of Deligne's weight-monodromy conjecture for complete intersections in toric varieties; the development of p-adic Hodge theory for rigid analytic spaces;  a p-adic analogue of Riemann's classification of abelian varieties over the complex numbers; and the construction of Galois representations for torsion classes in the cohomology of many locally symmetric spaces (for instance arithmetic hyperbolic 3-manifolds). We will start the week with an exposition of the foundations of the theory of perfectoid spaces, with the aim of teaching novices to work with them. Then we will discuss their current and potential applications.

    Updated on Oct 10, 2014 12:49 PM PDT
  80. Seminar Five Minute Talks

    Updated on Feb 12, 2014 09:05 AM PST
  81. Workshop Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry

    Organizers: Kirsten Eisentraeger (Pennsylvania State University), Julia Gordon (University of British Columbia), Deirdre Haskell (McMaster University)

    The development of model theory has always been influenced by its potential applications.
    Recent years have seen a remarkable flowering of that development, with many exciting applications of model theory in number theory and algebraic geometry. The introductory workshop will aim to increase these interactions by exposing the techniques of model theory to the number theorists and algebraic geometers, and the problems of number theory and algebraic geometry to the model theorists. The Connections for Women workshop will focus on presenting current research on the borders of these subjects, with particular emphasis on the contributions of women. In addition, there will be some social occasions to allow young women and men to make connections with established researchers, and a panel discussion addressing the challenges faced by all young researchers, but especially by women, in establishing a career in mathematics.

    Updated on Feb 12, 2014 09:59 AM PST
  82. Workshop Pacific Northwest and Bay Area Differential Geometry Seminar (BADGS) Winter 2014

    Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The seminar will take place from 10AM to 5PM on Saturday, and 9:15AM to 1PM on Sunday. Participants and their significant others are invited to a dinner to be arranged at a local restaurant on Saturday evening. The cost of the dinner will be reduced for students and postdocs. There is a signup link on the interactive program.

    Location:  Stanford University Department of Mathematics, Room 380C

    INTERACTIVE PROGRAM (PDF)

    Updated on Jan 16, 2014 04:46 PM PST
  83. Workshop Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory

    Organizers: Elisabeth Bouscaren (Centre National de la Recherche Scientifique (CNRS)), Antoine Chambert-Loir (Université de Paris XI), LEAD Rahim Moosa (University of Waterloo)

    Model theory is a branch of mathematical logic whose structural techniques have proven to be remarkably useful in arithmetic geometry and number theory. We will introduce in this workshop some of the main themes of the program.

    In particular, we will be offering the following tutorials:
    1. An Introduction to Stability-Theoretic Techniques, by Pierre Simon.
    2. Model Theory and Diophantine Geometry, by Antoine Chambert-Loir, Ya'acov Peterzil, and  Anand Pillay.
    3. Valued Fields and Berkovich Spaces, by Deirdre Haskell and Martin Hils.
    4. Model Theory and Additive Combinatorics, by Lou van den Dries.

    In addition to the tutorials there will be several "state of the art" lectures on the program topics, indicating recent results as well as directions for future work. Speakers include Ekaterina Amerik, Ehud Hrushovski, Alice Medvedev, Terence Tao, and Margaret Thomas.

    The introductory workshop aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

    Updated on Feb 10, 2014 11:01 AM PST
  84. Workshop Introductory Workshop: Algebraic Topology

    Organizers: Teena Gerhardt (Michigan State University), Jesper Grodal (University of Copenhagen), Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), LEAD Michael Hill (University of Virginia)

    Algebraic topology is a rich, vibrant field with close connections to many branches of mathematics. This workshop will describe the state of the field, focusing on major programs, open problems, exciting new tools, and cutting edge techniques.

    The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

    Updated on Jan 27, 2014 11:44 AM PST
  85. Workshop Connections for Women: Algebraic Topology

    Organizers: Julie Bergner (University of California), LEAD Teena Gerhardt (Michigan State University), Brooke Shipley (University of Illinois at Chicago)

    This two-day workshop will consist of short courses given by prominent female mathematicians in the field. These introductory courses will be appropriate for graduate students, post-docs, and researchers in related areas. The workshop will also include a panel discussion featuring successful women at various stages in their mathematical careers.

    Updated on Aug 26, 2014 11:45 AM PDT
  86. Program Model Theory, Arithmetic Geometry and Number Theory

    Organizers: Ehud Hrushovski (Hebrew University), François Loeser (Université de Paris VI (Pierre et Marie Curie)), David Marker (University of Illinois), Thomas Scanlon (University of California, Berkeley), Sergei Starchenko (University of Notre Dame), LEAD Carol Wood (Wesleyan University)

    The program aims to further the flourishing interaction between model theory and other parts of mathematics, especially number theory and arithmetic geometry. At present the model theoretical tools in use arise primarily from geometric stability theory and o-minimality. Current areas of lively interaction include motivic integration, valued fields, diophantine geometry, and algebraic dynamics.

    Updated on Feb 19, 2014 02:02 PM PST
  87. Program Algebraic Topology

    Organizers: Vigleik Angeltveit (Australian National University), Andrew Blumberg (University of Texas), Gunnar Carlsson (Stanford University), Teena Gerhardt (Michigan State University), LEAD Michael Hill (University of Virginia), Jacob Lurie (Harvard University)

    Algebraic topology touches almost every branch of modern mathematics. Algebra, geometry, topology, analysis, algebraic geometry, and number theory all influence and in turn are influenced by the methods of algebraic topology. The goals of this 2014 program at MSRI are:

    Bring together algebraic topology researchers from all subdisciplines, reconnecting the pieces of the field

    Identify the fundamental problems and goals in the field, uncovering the broader themes and connections

    Connect young researchers with the field, broadening their perspective and introducing them to the myriad approaches and techniques.

    Updated on Jan 21, 2014 11:44 AM PST
  88. Workshop Macaulay2 Workshop

    Organizers: Sonja Mapes (University of Notre Dame), Frank Moore (Wake Forest University), David Swinarski (University of Georgia)

    The purpose of the workshop is to bring Macaulay2 developers together with those who would like to share or develop their skills at writing packages for Macaulay2 and those interested in developing the corresponding mathematical algorithms.

    Updated on Aug 05, 2013 05:39 PM PDT
  89. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:56 PM PDT
  90. Workshop Infinite-Dimensional Geometry

    Organizers: Lawrence Evans (University of California, Berkeley), Dmitry Jakobson (McGill University), Robert McCann (University of Toronto), LEAD Stephen Preston (University of Colorado)

    The purpose of this workshop is to gather researchers working in various areas of geometry in infinite dimensions in order to facilitate collaborations and sharing of ideas. Topics represented include optimal transport and geometries on densities, metrics on shape spaces, Euler-Arnold equations on diffeomorphism groups, the universal Teichmuller space, geometry of random Riemann surfaces, metrics on spaces of metrics, and related areas. The workshop will be held on the campus of University of California Berkeley (60 Evans Hall) the weekend of December 7-8, 2013. It is funded by an NSF grant.

    Updated on Dec 05, 2013 02:55 PM PST
  91. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:56 PM PDT
  92. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:56 PM PDT
  93. Seminar OT Programmatic Seminar

    Updated on Oct 10, 2013 04:41 PM PDT
  94. Seminar OT Programmatic Seminar

    Created on Oct 11, 2013 09:57 AM PDT
  95. Workshop Initial Data and Evolution Problems in General Relativity

    Organizers: LEAD Piotr Chrusciel (Universität Wien), LEAD Igor Rodnianski (Massachusetts Institute of Technology)

    This workshop discusses recent developments both in the study of the properties of initial data for Einstein's equations, and in the study of solutions of the Einstein evolution problem. Cosmic censorship, the formation and stability of black holes, the role of mass and quasi-local mass, and the construction of solutions of the Einstein constraint equations are focus problems for the workshop. We highlight recent developments, and examine major areas in which future progress is likely.

    Updated on Nov 26, 2013 09:16 AM PST
  96. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:55 PM PDT
  97. Seminar Constraint FRG

    Created on Nov 06, 2013 01:31 PM PST
  98. Seminar Geroch Lunch Seminar

    Updated on Oct 22, 2013 03:03 PM PDT
  99. Seminar Chern Lectures

    Created on Jul 22, 2013 02:41 PM PDT
  100. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:54 PM PDT
  101. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:54 PM PDT
  102. Workshop Bay Area Differential Geometry Seminar (BADGS) Fall 2013

    Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), LEAD David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Updated on Sep 18, 2013 12:07 PM PDT
  103. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:53 PM PDT
  104. Workshop Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation

    Organizers: Yann Brenier (École Polytechnique), Michael Cullen (Met Office), LEAD Wilfrid Gangbo (Georgia Institute of Technology), Allen Tannenbaum (State University of New York, Stony Brook)

    The workshop will be devoted to emerging approaches to fluid mechanical, geophysical and kinetic theoretical flows based on optimal transportation. It will also explore numerical approaches to optimal transportation problems.

    Updated on Sep 18, 2014 04:45 PM PDT
  105. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:53 PM PDT
  106. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:52 PM PDT
  107. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:52 PM PDT
  108. Seminar Geroch Lunch Seminar

    Updated on Sep 16, 2013 02:51 PM PDT
  109. Seminar 5 Minute Talks

    Created on Sep 06, 2013 09:50 AM PDT
  110. Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

    Several examples of hidden convexity in nonlinear PDEs will be addressed. Most of them are related to the theory of “optimal transportation”, which is the theme of one of the two MSRI programs this fall: see http://www.msri.org/programs/277.

    Updated on Sep 10, 2013 11:00 AM PDT
  111. Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

    Several examples of hidden convexity in nonlinear PDEs will be addressed. Most of them are related to the theory of “optimal transportation”, which is the theme of one of the two MSRI programs this fall: see http://www.msri.org/programs/277.

    Updated on Sep 10, 2013 10:59 AM PDT
  112. Workshop Introductory Workshop: Mathematical Relativity

    Organizers: LEAD Justin Corvino (Lafayette College), Greg Galloway (University of Miami), Hans Ringström (Royal Institute of Technology (KTH))

    Mathematical relativity is a very widely ranging area of mathematical study, spanning differential geometry, elliptic and hyperbolic PDE, and dynamical systems. We introduce in this workshop some of the leading areas of current interest associated with problems in cosmology, the theory of black holes, and the geometry and physics of the Cauchy problem (initial data constraints and evolution) for the Einstein equations.

    The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

    Updated on Oct 23, 2013 10:04 AM PDT
  113. Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

    Several examples of hidden convexity in nonlinear PDEs will be addressed. Most of them are related to the theory of “optimal transportation”, which is the theme of one of the two MSRI programs this fall: see http://www.msri.org/programs/277.

    Updated on Sep 06, 2013 09:47 AM PDT
  114. Workshop Connections for Women: Mathematical General Relativity

    Organizers: Beverly Berger (None), LEAD Lydia Bieri (University of Michigan), Iva Stavrov (Lewis and Clark College)

    Ever since the epic work of Yvonne Choquet-Bruhat on the well-posedness of Einstein's equations initiated the mathematical study of general relativity, women have played an important role in many areas of mathematical relativity. In this workshop, some of the leading women researchers in mathematical relativity present their work.

    Updated on Oct 23, 2013 10:03 AM PDT
  115. Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

    Several examples of hidden convexity in nonlinear PDEs will be addressed. Most of them are related to the theory of “optimal transportation”, which is the theme of one of the two MSRI programs this fall: see http://www.msri.org/programs/277.

    Updated on Sep 06, 2013 09:46 AM PDT
  116. Workshop Introductory Workshop on Optimal Transport: Geometry and Dynamics

    Organizers: Luigi Ambrosio (Scuola Normale Superiore), Lawrence Evans (University of California, Berkeley), LEAD Alessio Figalli (University of Texas)

    The workshop is intended to give an overview of the research landscape surrounding optimal transportation, including its connections to geometry, design applications, and fully nonlinear partial differential equations.

    As such, it will feature some survey lectures or minicourses by distinguished visitors and/or a few of the organizers of the theme semester, amounting to a kind of summer school. These will be complemented by a sampling of research lectures and short presentations from a spectrum of invited guests and other participants, including some who attended the previous week's {\em Connections for Women} workshop.

    The introductory workshop aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

    Updated on Oct 23, 2013 10:02 AM PDT
  117. Workshop Connections for Women on Optimal Transport: Geometry and Dynamics

    Organizers: Sun-Yung Alice Chang (Princeton University), Panagiota Daskalopoulos (Columbia University), Robert McCann (University of Toronto), Maria Westdickenberg (RWTH Aachen)

    This two-day event aims to connect women graduate students and beginning researchers with more established female researchers who use optimal transportation in their work and can serve as professional contacts and potential role-models. As such, it will showcase a selection of lectures featuring female scientists, both established leaders and emerging researchers.

    These lectures will be interspersed with networking and social events such as lunch or tea-time discussions led by successful researchers about (a) the particular opportunities and challenges facing women in science---including practical topics such as work-life balance and choosing a mentor, and (b) promising new directions in optimal transportation and related topics. Junior participants will be paired with more senior researchers in mentoring groups, and all participants will be encouraged to stay for the Introductory Workshop the following week, where they will have the opportunity to propose a short research communication.

    Updated on Oct 02, 2013 08:49 AM PDT
  118. Program Optimal Transport: Geometry and Dynamics

    Organizers: Luigi Ambrosio (Scuola Normale Superiore), Yann Brenier (École Polytechnique), Panagiota Daskalopoulos (Columbia University), Lawrence Evans (University of California, Berkeley), Alessio Figalli (University of Texas), Wilfrid Gangbo (Georgia Institute of Technology), LEAD Robert McCann (University of Toronto), Felix Otto (Max-Planck-Institut für Mathematik in den Naturwissenschaften), Neil Trudinger (Australian National University)

    In the past two decades, the theory of optimal transportation has emerged as a fertile field of inquiry, and a diverse tool for exploring applications within and beyond mathematics. This transformation occurred partly because long-standing issues could finally be resolved, but also because unexpected connections emerged which linked these questions to classical problems in geometry, partial differential equations, nonlinear dynamics, natural sciences, design problems and economics. The aim of this program will be to gather experts in optimal transport and areas of potential application to catalyze new investigations, disseminate progress, and invigorate ongoing exploration.

    Updated on Sep 29, 2013 11:41 PM PDT
  119. Program Mathematical General Relativity

    Organizers: Yvonne Choquet-Bruhat, Piotr Chrusciel (Universität Wien), Greg Galloway (University of Miami), Gerhard Huisken (Math. Forschungsinstitut Oberwolfach), LEAD James Isenberg (University of Oregon), Sergiu Klainerman (Princeton University), Igor Rodnianski (Massachusetts Institute of Technology), Richard Schoen (Stanford University)

    The study of Einstein's general relativistic gravitational field equation, which has for many years played a crucial role in the modeling of physical cosmology and astrophysical phenomena, is increasingly a source for interesting and challenging problems in geometric analysis and PDE. In nonlinear hyperbolic PDE theory, the problem of determining if the Kerr black hole is stable has sparked a flurry of activity, leading to outstanding progress in the study of scattering and asymptotic behavior of solutions of wave equations on black hole backgrounds. The spectacular recent results of Christodoulou on trapped surface formation have likewise stimulated important advances in hyperbolic PDE. At the same time, the study of initial data for Einstein's equation has generated a wide variety of challenging problems in Riemannian geometry and elliptic PDE theory. These include issues, such as the Penrose inequality, related to the asymptotically defined mass of an astrophysical systems, as well as questions concerning the construction of non constant mean curvature solutions of the Einstein constraint equations. This semester-long program aims to bring together researchers working in mathematical relativity, differential geometry, and PDE who wish to explore this rapidly growing area of mathematics.

    Updated on Nov 05, 2013 04:41 PM PST
  120. Summer Graduate School Introduction to the Mathematics of Seismic Imaging

    Organizers: LEAD Gunther Uhlmann (University of Washington)

    In this two week program we will develop some of the mathematical foundations of seismic imaging that is a basic tool used in ``Imaging the Earth Interior". This is one of the components of the Mathematics of Planet Earth year in 2013.

    The goal in seismic imaging is to determine the inner structure of the Earth from the crust to the inner core by using information provided by earthquakes in the case of the deep interior or by measuring the reflection of waves produced by acoustic or elastic sources on the surface of the Earth. The mathematics of seismic imaging involves solving inverse problems for the wave equation. No previous experience on inverse problems will be assumed.

    Updated on Jul 25, 2013 09:45 AM PDT
  121. Summer Graduate School New Geometric Techniques in Number Theory

    Organizers: Toby Gee (Imperial College, London), LEAD Ariane Mézard (Institut de Mathématiques de Jussieu), David Nadler (University of California, Berkeley), Peter Scholze (Universität Bonn)

    The branches of number theory most directly related to automorphic forms have seen enormous progress over the past five years. Techniques introduced since 2008 have made it possible to prove many new arithmetic applications. The purpose of the current workshop is to drow the attention of young students or researchers to new questions that have arisen in the course of bringing several chapters in the Langlands program and related algebraic number theory to a close. We will focus especially on some precise questions of a geometric nature, or whose solutions seem to require new geometric insights. A graduate level in Number Theory is expected.

    This two-week workshop will be devoted to the following subjects: Automorphy lifting theorems, p-adic local Langlands program, Characters of categorical representations and Hasse-Weil zeta function. During the first week, the lecturers present an open question and related mathematical objects. The first exercice sessions serve to direct the participants to an appropriate subject depending on their level. During the second week, the lecturers give some more advanced lectures on the field.

    Updated on Jul 02, 2013 10:48 AM PDT
  122. Summer Graduate School IAS/PCMI Summer 2013: Geometric Analysis

    Organizers: Hubert Bray (Duke University), Greg Galloway (University of Miami), Rafe Mazzeo (Stanford University), Natasa Sesum (Rutgers University)

    This Summer Graduate Workshop will be held in Park City, Utah.

    The Graduate Summer School bridges the gap between a general graduate education in mathematics and the specific preparation necessary to do research on problems of current interest. In general, these students will have completed their first year, and in some cases, may already be working on a thesis. While a majority of the participants will be graduate students, some postdoctoral scholars and researchers may also be interested in attending.

    We strongly recommend that graduate students have already had the equivalent of rigorous first year graduate-level courses in topology, algebra and analysis.

    The main activity of the Graduate Summer School will be a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures will not duplicate standard courses available elsewhere. Each course will consist of lectures with problem sessions. Course assistants will be available for each lecture series. The participants of the Graduate Summer School meet three times each day for lectures, with one or two problem sessions scheduled each day as well.

    Updated on May 06, 2013 11:06 AM PDT
  123. Summer Graduate School Seminaire de Mathematiques Superieures 2013: Physics and Mathematics of Link Homology

    Organizers: Sergei Gukov (California Institute of Technology), Mikhail Khovanov (Columbia University), Johannes Walcher (McGill University)

    This Summer Graduate Workshop will be held in Montreal, Canada.

    Homology theories of knots and links is a burgeoning field at the interface of mathematics with theoretical physics. The 2013 edition of the SMS will bring together leading researchers in mathematics and mathematical physics working in this area, with the aim to educate a new generation of scientists in this exciting subject. The school will provide a pedagogical review of the current state of the various constructions of knot homologies, and also encourage interactions between the communities in order to facilitate development of the unified picture.

    Updated on May 06, 2013 09:37 AM PDT
  124. Workshop Pacific Rim Mathematical Association (PRIMA) Congress 2013

    Organizers: Alejandro Adem (University of British Columbia), Federico Ardila (San Francisco State University), Marston Conder (University of Auckland), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Yakov Eliashberg (Stanford University), Nassif Ghoussoub (University of British Columbia), Anthony Guttmann (University of Melbourne), Lee Minh Ha, Shi Jin (University of Wisconsin-Madison), Alejandro Jofre, Yujiro Kawamata (University of Tokyo), Jong Keum (Korea Advanced Institute of Science and Technology (KAIST)), Douglas Lind (University of Washington), Kyewon Park (Ajou University), Shige Peng (Shandong University), Jose Seade (UNAM - Universidad Nacional Autonoma de Mexico), Gang Tian (Princeton University), Tatiana Toro (University of Washington)

    The Second Pacific Rim Mathematical Association (PRIMA) Congress will be held at Shanghai Jiao Tong University in China, on June 24-28, 2013.

    PRIMA is an association of mathematical sciences institutes, departments and societies from around the Pacific Rim, established in 2005 with the aim of promoting and facilitating the development of the mathematical sciences throughout the Pacific Rim region.

    $1000 travel grants are available to representatives from MSRI Academic Sponsoring Institutions. These grants are available on a first-come, first-serve basis.

    -----------------------------------------------------------------------------------------------

    Additional Travel Support Available from an NSF Grant

    The NSF has awarded a substantial grant for travel by scientists at US universities to the PRIMA Congress in Shanghai. For further information and application details, please see https://www.mathprograms.org/db/programs/152

    Updated on May 06, 2013 12:00 PM PDT
  125. Summer Graduate School Algebraic Topology

    Organizers: Andrew Blumberg (University of Texas), Teena Gerhardt (Michigan State University), LEAD Michael Hill (University of Virginia)

    Modern algebraic topology is a broad and vibrant field which has seen recent progress on classical problems as well as exciting new interactions with applied mathematics. This summer school will consist of a series of lecture by experts on major research directions, including several lectures on applied algebraic topology. Participants will also have the opportunity to have guided interaction with the seminal texts in the field, reading and speaking about the foundational papers.

    Updated on Jun 25, 2013 08:38 PM PDT
  126. MSRI-UP MSRI-UP 2013: Algebraic Combinatorics

    Organizers: Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), Herbert Medina (Loyola Marymount University), LEAD Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2013 program will be led by Dr. Rosa Orellana from Dartmouth College.

    Updated on Aug 15, 2013 08:52 AM PDT
  127. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2013

    Organizers: David Bao (San Francisco State University), Robert Bryant (Duke University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Location: Department of Mathematics, Stanford University

    Updated on Jun 07, 2013 03:09 PM PDT
  128. Workshop The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods

    Organizers: Craig Huneke (University of Virginia), Yujiro Kawamata (University of Tokyo), Mircea Mustata (University of Michigan), Karen Smith (University of Michigan), Kei-ichi Watanabe (Nihon University)

    The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry. There is a long history of this interaction which arises via the "reduction to characteristic p" procedure. It is only in the last few years, however, that very concrete objects from both areas, namely generalized test ideals from commutative algebra and multiplier ideals from birational geometry, have been shown to be intimately connected. This workshop will explore this connection, as well as other topics used to study singularities such as jets schemes and valuations.

    Updated on Jun 05, 2013 09:44 AM PDT
  129. Workshop Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry

    Organizers: Victor Ginzburg (University of Chicago), Iain Gordon (University of Edinburgh, UK), Markus Reineke (Bergische Universität Wuppertal, Germany), Catharina Stroppel* (University of Bonn, Germany), and James Zhang (University of Washington)

    In recent years there have been increasing interactions between noncommutative algebra/representation theory on the one hand and algebraic geometry on the other. This workshop would aim to examine these interactions and, as importantly, to encourage the interactions between the three areas. The precise topics will become more precise nearer the time, but will certainly include:

    Noncommutative algebraic geometry; Noncommutative resolutions of singularities and Calabi-Yau algebras; Symplectic reflection and related algebras; D-module theory; Deformation-quantization
     

    Updated on May 14, 2013 12:12 PM PDT
  130. Workshop Critical Issues in Mathematics Education 2013: Assessment of Mathematical Proficiencies in the Age of the Common Core

    Organizers: Mark Thames* (University of Michigan), Kristin Umland* (University of New Mexico), Noah Heller (Math for America) and Alan Schoenfeld (University of California, Berkeley)

    This workshop will explore the fundamental problems of trying to assess students' mathematical proficiency, seeking to take a more comprehensive perspective on what it is to learn, know, and use mathematics. The advent of the Common Core State Standards both increases the demand and broadens the conception of what it is to be mathematically skillful, and opens new opportunities and challenges to improving our ability to assess what students understand and can do.

    Updated on May 13, 2015 03:24 PM PDT
  131. Seminar Superduality

    Updated on Jul 03, 2014 04:42 PM PDT
  132. Workshop Hot Topics: Surface subgroups and cube complexes

    Organizers: Ian Agol* (University of California, Berkeley), Danny Calegari (University of Chicago), Ursula Hamenstädt (University Bonn), Vlad Markovic (California Institute of Technology)

    Recently there has been substantial progress in our understanding of the related questions of which hyperbolic groups are cubulated on the one hand, and which contain a surface subgroup on the other. The most spectacular combination of these two ideas has been in 3-manifold topology, which has seen the resolution of many long-standing conjectures. In turn, the resolution of these conjectures has led to a new point of view in geometric group theory, and the introduction of powerful new tools and structures. The goal of this conference will be to explore the further potential of these new tools and perspectives, and to encourage communication between researchers working in various related fields.

    Updated on Jun 06, 2013 05:54 PM PDT
  133. Workshop AWM Research Symposium 2013

    Organizers: Hélène Barcelo (MSRI), Estelle Basor (AIM), Georgia Benkart (University of Wisconsin-Madison), Ruth Charney (Brandeis University), Frank Farris (Santa Clara University), Jill Pipher (Brown University and ICERM)

    AWM launches a New Series of Biennial Research Symposia

    AWM Research Symposium 2013 will be held at Santa Clara University March 16 -17, 2013. The symposium, the initial event in the series, will showcase the research of women in the mathematical professions. It will feature three plenary talks, special sessions on a broad range of research in pure and applied mathematics, poster sessions for graduate students, and a panel discussion of the "imposter syndrome." Join us next spring on the Santa Clara University campus.

    Updated on Jun 06, 2013 05:54 PM PDT
  134. Seminar Categorification

    Updated on Dec 19, 2014 12:00 PM PST
  135. Workshop Representation Theory, Homological Algebra, and Free Resolutions

    Organizers: Luchezar Avramov (University of Nebraska), David Eisenbud (University of California, Berkeley), and Irena Peeva* (Cornell University)

    The workshop will focus on recent breakthroughs in understanding and applications of free resolutions and on interactions of commutative algebra and representation theory, where algebraic geometry often appears as a third player. A specific goal is to stimulate further interaction between these fields.

    Updated on Aug 23, 2015 05:37 PM PDT
  136. Workshop Introductory Workshop: Noncommutative Algebraic Geometry and Representation Theory

    Organizers: Michael Artin (Massachusetts Institute of Technology - MIT), Michel Van den Bergh* (Vrije Universiteit Brussel), and Toby Stafford (University of Manchester)

    This workshop will provide several short lecture series consisting two or three lectures each to introduce postdocs, graduate students and non-experts to some of the major themes of the conference. While the precise topics may change to reflect developments in the area, it is likely that we will run mini-series in the following subjects:

    Noncommutative algebraic geometry; D-Module Theory; Derived Categories; Noncommutative Resolutions of Singularities; Deformation-Quantization; Symplectic Reflection Algebras; Growth Functions of Infinite Dimensional Algebras.

    Updated on Jun 17, 2015 10:25 AM PDT
  137. Workshop Connections for Women: Noncommutative Algebraic Geometry and Representation Theory

    Organizers: Georgia Benkart (University of Wisconsin), Ellen Kirkman* (Wake Forest University), and Susan Sierra (Princeton University & University of Edinburgh)

    The Connections for Women workshop associated to the MSRI program in noncommutative algebraic geometry and representation theory is intended to bring together women who are working in these areas in all stages of their careers.

    As the first event in the semester, this workshop will feature a "tapas menu" of current research and open questions: light but intriguing tastes, designed to encourage further exploration and interest. Talks will be aimed at a fairly general audience and will cover diverse topics within the theme of the program. In addition, there will be a poster session for graduate students and recent PhD recipients and a panel discussion on career issues, as well as free time for informal discussion.

    Updated on Jul 24, 2015 10:33 PM PDT
  138. Seminar 5-minute talks

    Updated on Jan 18, 2013 05:59 AM PST
  139. Program Noncommutative Algebraic Geometry and Representation Theory

    Organizers: Mike Artin (Massachusetts Institute of Technology), Viktor Ginzburg (University of Chicago), Catharina Stroppel (Universität Bonn , Germany), Toby Stafford* (University of Manchester, United Kingdom), Michel Van den Bergh (Universiteit Hasselt, Belgium), Efim Zelmanov (University of California, San Diego)

    Over the last few decades noncommutative algebraic geometry (in its many forms) has become increasingly important, both within noncommutative algebra/representation theory, as well as having significant applications to algebraic geometry and other neighbouring areas. The goal of this program is to explore and expand upon these subjects and their interactions. Topics of particular interest include noncommutative projective algebraic geometry, noncommutative resolutions of (commutative or noncommutative) singularities,Calabi-Yau algebras, deformation theory and Poisson structures, as well as the interplay of these subjects with the algebras appearing in representation theory--like enveloping algebras, symplectic reflection algebras and the many guises of Hecke algebras.

    Updated on May 06, 2013 04:21 PM PDT
  140. Workshop Combinatorial Commutative Algebra and Applications

    Organizers: Winfried Bruns (Universität Osnabrück), Alicia Dickenstein (University of Buenos Aires, Argentina), Takayuki Hibi (Osaka University), Allen Knutson* (Cornell University), and Bernd Sturmfels (University of California, Berkeley)

    This workshop on Combinatorial Commutative Algebra aims to bring together researchers studying toric algebra and degenerations, simplicial objects such as monomial ideals and Stanley-Reisner rings, and their connections to tropical geometry, algebraic statistics, Hilbert schemes, D-modules, and hypergeometric functions.

    Updated on Aug 23, 2015 05:37 PM PDT
  141. Seminar Tropical Moduli Spaces

    Updated on Oct 18, 2012 11:07 AM PDT
  142. Seminar Matroids over rings

    Updated on Nov 07, 2012 11:39 AM PST
  143. Seminar Glicci ideals

    Updated on Nov 09, 2012 02:11 AM PST
  144. Seminar Tensor complexes

    Updated on Sep 16, 2013 10:17 AM PDT
  145. Seminar Relations of minors

    Updated on Nov 26, 2014 03:01 PM PST
  146. Workshop Cluster Algebras in Combinatorics, Algebra, and Geometry

    Organizers: Claire Amiot (Université de Strasbourg), Sergey Fomin (University of Michigan), Bernard Leclerc (Université de Caen), and Andrei Zelevinsky* (Northeastern University)

    Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmuller theory, Poisson geometry, Lie theory, discrete integrable systems, and polyhedral combinatorics.

    The workshop aims at presenting a broad view of the state-of-the-art understanding of the role of cluster algebras in all these areas, and their interactions with each other.

    Updated on Jun 10, 2015 03:13 PM PDT
  147. Seminar The pentagram map

    Updated on Jul 03, 2014 04:42 PM PDT
  148. Seminar Dilogarithms

    Updated on Mar 24, 2015 02:25 PM PDT
  149. Seminar Superflatness

    Updated on Oct 03, 2012 02:18 AM PDT
  150. Seminar Linkage of ideals.

    Updated on Sep 25, 2012 03:09 AM PDT
  151. Seminar Mustafin Varieties

    Updated on Feb 24, 2015 11:53 AM PST
  152. Seminar 5-minute talks

    Updated on Aug 30, 2012 04:56 AM PDT
  153. Seminar 5-minute talks

    Updated on Aug 30, 2012 04:57 AM PDT
  154. Workshop Joint Introductory Workshop: Cluster Algebras and Commutative Algebra

    Organizers: David Eisenbud* (University of California, Berkeley), Bernhard Keller (Universit´e Paris VII, France), Karen Smith (University of Michigan), and Alexander Vainshtein* (University of Haifa, Israel)

    This workshop will take place at the opening of the MSRI special programs on Commutative Algebra and on Cluster Algebras. It will feature lecture series at different levels, to appeal to a wide variety of participants. There will be minicourses on the basics of cluster algebras, and others developing particular aspects of cluster algebras and commutative algebra.

    Updated on Aug 28, 2015 09:13 AM PDT
  155. Workshop Connections For Women: Joint Workshop on Commutative Algebra and Cluster Algebras

    Organizers: Claudia Polini (University of Notre Dame), Idun Reiten (Norwegian University of Science and Technology), Karen Smith (University of Michigan), and Lauren Williams* (University of California, Berkeley)

    This workshop will present basic notions from Commutative Algebra and Cluster Algebras, with a particular focus on providing background material. Additionally, the workshop aims to encourage and facilitate the exchange of ideas between researchers in Commutative Algebra and researchers in Cluster Algebras.

    Updated on Jun 10, 2015 03:13 PM PDT
  156. Program Cluster Algebras

    Organizers: Sergey Fomin (University of Michigan), Bernhard Keller (Université Paris Diderot - Paris 7, France), Bernard Leclerc (Université de Caen Basse-Normandie, France), Alexander Vainshtein* (University of Haifa, Israel), Lauren Williams (University of California, Berkeley)

    Cluster algebras were conceived in the Spring of 2000 as a tool for studying dual canonical bases and total positivity in semisimple Lie groups. They are constructively defined commutative algebras with a distinguished set of generators (cluster variables) grouped into overlapping subsets (clusters) of fixed cardinality. Both the generators and the relations among them are not given from the outset, but are produced by an iterative process of successive mutations. Although this procedure appears counter-intuitive at first, it turns out to encode a surprisingly widespread range of phenomena, which might explain the explosive development of the subject in recent years.

    Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmueller theory, invariant theory, tropical calculus, Poisson geometry, Lie theory, and polyhedral combinatorics.

    Updated on May 06, 2013 04:25 PM PDT
  157. Program Commutative Algebra

    Organizers: David Eisenbud* (University of California, Berkeley), Srikanth Iyengar (University of Nebraska), Ezra Miller (Duke University), Anurag Singh (University of Utah), and Karen Smith (University of Michigan)

    Commutative algebra was born in the 19th century from algebraic geometry, invariant theory, and number theory. Today it is a mature field with activity on many fronts.

    The year-long program will highlight exciting recent developments in core areas such as free resolutions, homological and representation theoretic aspects, Rees algebras and integral closure, tight closure and singularities, and birational geometry. In addition, it will feature the important links to other areas such as algebraic topology, combinatorics, mathematical physics, noncommutative geometry, representation theory, singularity theory, and statistics. The program will reflect the wealth of interconnections suggested by these fields, and will introduce young researchers to these diverse areas.

    New connections will be fostered through collaboration with the concurrent MSRI programs in Cluster Algebras (Fall 2012) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013).

    For more detailed information about the program please see, http://www.math.utah.edu/ca/.

    Updated on Aug 18, 2013 04:09 PM PDT
  158. Summer Graduate School Model Theory

    Organizers: David Marker* (University of Illinois, Chicago), Thomas Scanlon (University of California, Berkeley), Carol Wood (Wesleyan University).

    The workshop will consist of two minicourses, together with a selection of topical lectures.

    In the model theory course, o-minimality, and specifically the concrete example of the semi-algebraic sets of real numbers will provide the setting in which we introduce various fundamental results from model theory.
    The algebraic dynamics course will allow the introduction of concepts and proof techniques from number theory and algebraic geometry in the context of applications involving model theory.

    Toward the end of the workshop, the two minicourses will converge on the Pila-Wilkie theorem concerning points on analytic varieties, a result crucial in recent applications of o-minimality to diophantine geometry.

    Updated on Apr 03, 2015 04:47 AM PDT
  159. Summer Graduate School Mathematical General Relativity

    Organizers: Justin Corvino* (Lafayette College) and Pengzi Miao (University of Miami)

    Mathematical general relativity is the study of mathematical problems related to Einstein's theory of gravitation. There are interesting connections between the physical theory and problems in differential geometry and partial differential equations.

    The purpose of the workshop is to introduce graduate students to some fundamental aspects of mathematical general relativity, with particular emphasis on the geometry of the Einstein constraint equations and the Positive Mass Theorem. These topics will comprise a component of the upcoming semester program at MSRI in Fall 2013.

    There will be mini-courses, as well as several research lectures. Students are expected to have had courses in graduate real analysis and Riemannian geometry, while a course in graduate-level partial differential equations is recommended.

    Updated on Jul 03, 2015 12:59 PM PDT
  160. Summer Graduate School IAS/PCMI Summer 2012: Geometric Group Theory

    Organizers: Mladen Bestvina (University of Utah), Michah Sageev (Technion – Israel Institute of Technology), and Karen Vogtmann (Cornell University)

    This Summer Graduate Workshop will be held in Park City, Utah.

    Some mobility between the Research in Mathematics and Graduate Summer School programs is expected and encouraged, but interested candidates should read the guidelines carefully and apply to the one program best suited to their field of study and experience. Postdoctoral scholars who are working in the field of Geometric Group Theory should apply to the Research Program in Mathematics, not to the Graduate Summer School.
    Graduate students who are beyond their basic courses and recent PhDs in all fields of mathematics are encouraged to apply to the Graduate Summer School. Funding will go primarily to graduate students. Postdoctoral scholars not working in the field of Geometric Group Theory should also apply, but should be within four years of receipt of their PhD.
    Deadline for submission of applications is January 31, 2012. Supplemental materials (such as Reference Letters) must be received in the PCMI office by February 4, 2012. Please plan accordingly. (Late applications may be accepted at the discretion of the organizers.) Response may be expected in early April. Financial support is available. Applicants are invited to request financial support by checking the appropriate boxes on the application form.

    Updated on Mar 20, 2012 11:44 AM PDT
  161. Summer Graduate School Seminaire de Mathematiques Superieures 2012: Probabilistic Combinatorics

    Organizers: Louigi Addario-Berry* (McGill University), Luc Devroye (McGill University), Bruce Reed (McGill University)

    This Summer Graduate Workshop will be held in Montreal, Canada.

    One of the cornerstones of the probabilistic approach to solving combinatorial problems is the following guiding principle: information about global structure can be obtained through local analysis. This principle is ubiquitous in probabilistic combinatorics. It arises in problems ranging from graph colouring, to Markov chain mixing times, to Szemerédi's regularity lemma and its applications, to the theory of influences. The 2012 Séminaire de Mathématiques Supérieures brings together experts in probabilistic combinatorics from around the world, to explain cutting edge research which in one way or another exhibits this principle.

    Updated on May 07, 2013 11:14 PM PDT
  162. Summer Graduate School Noncommutative Algebraic Geometry

    Organizers: Dan Rogalski* (University of California, San Diego), Travis Schedler (Massachusetts Institute of Technology), Michael Wemyss (The University of Edinburgh, United Kingdom)

    This workshop will introduce some of the major themes of the MSRI program "Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry" to be held in the spring of 2013. There will be four mini-courses on the topics of noncommutative projective geometry, deformation theory, noncommutative resolutions of singularities, and symplectic reflection algebras. As well as providing theoretical background, the workshop will aim to equip participants with some intuition for the many open problems in this area through worked examples and experimental computer calculations.

    Updated on Dec 05, 2014 02:42 PM PST
  163. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:40 AM PST
  164. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:39 AM PST
  165. Workshop Random Walks and Random Media

    Organizers: Noam Berger (The Hebrew University of Jerusalem), Nina Gantert (Technical University, Munich), Andrea Montanari (Stanford University), Alain-Sol Sznitman (Swiss Federal Institute of Technology, ETH Zurich), and Ofer Zeitouni* (University of Minnesota/Weizmann Institute)

    The field of random media has been the object of intensive mathematical research over the last thirty years. It covers a variety of models, mainly from condensed matter physics, physical chemistry, and geology, where one is interested in materials which have defects or inhomogeneities. These features are taken into account by letting the medium be random. It has been found that this randomness can cause very unexpected effects in the large scale behavior of these models; on occasion these run contrary to the prevailing intuition. A feature of this area, which it has in common with other areas of statistical physics, is that what was initially thought to be just a simple toy model has turned out to be a major mathematical challenge.

    Updated on Jun 07, 2013 03:09 PM PDT
  166. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:39 AM PST
  167. Seminar Self-Avoiding Walk

    Updated on Jan 24, 2015 08:59 AM PST
  168. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:38 AM PST
  169. Seminar Postdoc Seminar

    Updated on Feb 01, 2012 07:47 AM PST
  170. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:38 AM PST
  171. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:37 AM PST
  172. Workshop Statistical Mechanics and Conformal Invariance

    Organizers: Philippe Di Francesco* (Commissariat à l' Énergie Atomique, CEA), Andrei Okounkov (Columbia University), Steffen Rohde (University of Washington ), and Scott Sheffield (Massachusetts Institute of Technology, MIT)

    Our understanding of the scaling limits of discrete statistical systems has shifted in recent years from the physicists' field-theoretical approaches to the more rigorous realm of probability theory and complex analysis. The aim of this workshop is to combine both discrete and continuous approaches, as well as the statistical physics/combinatorial and the probabilistic points of view. Topics include quantum gravity, planar maps, discrete conformal analysis, SLE, and other statistical models such as loop gases.

    Updated on Jun 07, 2013 03:08 PM PDT
  173. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:37 AM PST
  174. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:36 AM PST
  175. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:36 AM PST
  176. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:35 AM PST
  177. Seminar Postdoc Seminar

    Updated on Feb 01, 2012 07:41 AM PST
  178. Seminar Postdoc Seminar

    Updated on Feb 01, 2012 07:40 AM PST
  179. Workshop Percolation and Interacting Systems

    Organizers: Geoffrey R. Grimmett (University of Cambridge), Eyal Lubetzky* (Microsoft Research), Jeffrey Steif (Chalmers University of Technology), and Maria E. Vares (Centro Brasileiro de Pesquisas Físicas)

    Over the last ten years there has been spectacular progress in the understanding of geometrical properties of random processes. Of particular importance in the study of these complex random systems is the aspect of their phase transition (in the wide sense of an abrupt change in macroscopic behavior caused by a small variation in some parameter) and critical phenomena, whose applications range from physics, to the performance of algorithms on networks, to the survival of a biological species.

    Recent advances in the scope of rigorous scaling limits for discrete random systems, most notably for 2D systems such as percolation and the Ising model via SLE, have greatly contributed to the understanding of both the critical geometry of these systems and the behavior of dynamical stochastic processes modeling their evolution. While some of the techniques used in the analysis of these systems are model-specific, there is a remarkable interplay between them. The deep connection between percolation and interacting particle systems such as the Ising and Potts models has allowed one model to successfully draw tools and rigorous theory from the other.

    The aim of this workshop is to share and attempt to push forward the state-of-the-art understanding of the geometry and dynamic evolution of these models, with a main focus on percolation, the random cluster model, Ising and other interacting particle systems on lattices.

    Updated on Jun 07, 2013 03:08 PM PDT
  180. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:35 AM PST
  181. Workshop Hot Topics: Thin Groups and Super-strong Approximation

    Organizers: Emmanuel Breuillard* (Universite Paris-Sud, Orsay), Alexander Gamburd (CUNY Graduate Center), Jordan Ellenberg (University of Wisconsin - Madison), Emmanuel Kowalski (ETH Zurich), Hee Oh (Brown University)

    The workshop will focus on recent developments concerning various quantitative aspects of "thin groups". These are discrete subgroups of semisimple Lie groups which are both « big » (i.e. Zariski dense) and « small » (i.e. of infinite co-volume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading for instance to far-reaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap (super-strong approximation).

    Simultaneously and sometimes surprisingly, the study of thin groups turns out to be of fundamental importance in a variety of subjects, including equidistribution of homogeneous flows and lattice points counting problems, dynamics on Teichmuller space, the Bourgain-Gamburd-Sarnak sieve in orbit, and arithmetic or geometric properties of certain types of monodromy groups and coverings. The workshop will gather a variety of experts from group theory, number theory, ergodic theory and harmonic analysis to present the accomplishments to date to a broad audience and discuss directions for further study.

    Updated on Jun 07, 2013 02:00 PM PDT
  182. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2012

    Organizers: David Bao (San Francisco State University), Robert Bryant (Mathematical Sciences Research Institute), Joel Hass (University of California, Davis), David Hoffman* (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available and the final talk will be followed by dinner.

    Location: Stanford University

    Updated on Jun 07, 2013 01:32 PM PDT
  183. Seminar Open Problems Seminar

    Updated on Jan 27, 2012 02:34 AM PST
  184. Seminar Abelian networks

    Updated on Jan 26, 2012 04:20 AM PST
  185. Seminar Open Problems Seminar

    Updated on Jan 17, 2012 02:18 AM PST
  186. Seminar Postdoc Seminar

    Updated on Jan 19, 2012 01:30 AM PST
  187. Seminar Postdoc Seminar

    Created on Jan 19, 2012 01:28 AM PST
  188. Seminar Postdoc 5-Minute Talks

    Updated on Jan 24, 2012 04:13 AM PST
  189. Workshop Introductory Workshop: Lattice Models and Combinatorics

    Organizers: Cédric Boutillier (Université Pierre et Marie Curie), Tony Guttmann* (University of Melbourne), Christian Krattenthaler (University of Vienna), Nicolai Reshetikhin (University of California, Berkeley), and David Wilson (Microsoft Research)

    Research at the interface of lattice statistical mechanics and combinatorial problems of ``large sets" has been and exciting and fruitful field in the last decade or so. In this workshop we plan to develop a broad spectrum of methods and applications, spanning the spectrum from theoretical developments to the numerical end. This will cover the behaviour of lattice models at a macroscopic level (scaling limits at criticality and their connection with SLE) and also at a microscopic level (combinatorial and algebraic structures), as well as efficient enumeration techniques and Monte Carlo algorithms to generate these objects.

    Updated on Jun 07, 2013 02:00 PM PDT
  190. Workshop Connections for Women: Discrete Lattice Models in Mathematics, Physics, and Computing

    Organizers: Beatrice de Tiliere (University Pierre et Marie Curie), Dana Randall* (Georgia Institute of Technology), and Chris Soteros (University of Saskatchewan)

    This 2-day workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science and statistical physics to explore topics at their interface. The focus will be on combinatorial structures, probabilistic algorithms and models that arise in the study of physical systems. This will include the study of phase transitions, probabilistic combinatorics, Markov chain Monte Carlo methods, and random structures and randomized algorithms.

    Since discrete lattice models stand at the interface of these fields, the workshop will start with background talks in each of the following three areas: Statistical and mathematical physics; Combinatorics of lattice models; Sampling and computational issues. These talks will describe the general framework and recent developments in the field and will be followed with shorter talks highlighting recent research in the area.

    The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics and computer science.

    Updated on Jun 07, 2013 02:00 PM PDT
  191. Program Random Spatial Processes

    Organizers: Mireille Bousquet-Mélou (Université de Bordeaux I, France), Richard Kenyon* (Brown University), Greg Lawler (University of Chicago), Andrei Okounkov (Columbia University), and Yuval Peres (Microsoft Research Laboratories)

    In recent years probability theory (and here we mean probability theory in the largest sense, comprising combinatorics, statistical mechanics, algorithms, simulation) has made immense progress in understanding the basic two-dimensional models of statistical mechanics and random surfaces. Prior to the 1990s the major interests and achievements of probability theory were (with some exceptions for dimensions 4 or more) with respect to one-dimensional objects: Brownian motion and stochastic processes, random trees, and the like. Inspired by work of physicists in the ’70s and ’80s on conformal invariance and field theories in two dimensions, a number of leading probabilists and combinatorialists began thinking about spatial process in two dimensions: percolation, polymers, dimer models, Ising models. Major breakthroughs by Kenyon, Schramm, Lawler, Werner, Smirnov, Sheffield, and others led to a rigorous underpinning of conformal invariance in two-dimensional systems and paved the way for a new era of “two-dimensional” probability theory.

    Updated on Aug 10, 2015 02:30 PM PDT
  192. Seminar Postdoc Seminar

    Updated on Aug 31, 2011 10:13 AM PDT
  193. Workshop Quantitative Geometry in Computer Science

    Organizers: Irit Dinur (Weizmann Institute), Subhash Khot (Courant Institute), Manor Mendel* (Open University of Israel and Microsoft Research), Assaf Naor (Courant Institute), and Alistair Sinclair (University of California, Berkeley)

    Geometric problems which are inherently quantitative occur in various aspects of theoretical computer science, including
    a) Algorithmic tasks for geometric questions such as clustering and proximity data structures.
    b) Geometric methods in the design of approximation algorithms for combinatorial optimization problems, including the analysis of semidefinite programs and embedding methods.
    c) Geometric questions arising from computational complexity, particularly in hardness of approximation. These include isoperimetric and Fourier analytic problems. These include isoperimetric and Fourier analytic problems.

    This workshops aims to present recent progress in these directions.

    Updated on Jun 07, 2013 02:00 PM PDT
  194. Seminar Postdoc Seminar

    Created on Nov 10, 2011 05:13 AM PST
  195. Seminar Mean curvature flow

    Updated on Jan 12, 2015 02:34 PM PST
  196. Workshop Chern Centennial Conference

    Organizers: Robert Bryant (Co-Chair, Mathematical Science Research Institute - MSRI), Yiming Long (Co-Chair, Chern Institute of Mathematics - CIM), Hélène Barcelo (Mathematical Science Research Institute - MSRI), May Chu (S. S. Chern Foundation for Mathematical Research), and Lei Fu (Chern Institute of Mathematics - CIM).

    The Mathematical Sciences Research Institute (MSRI), in conjunction with the Chern Institute of Mathematics (CIM) in Tianjin, China, celebrates the centennial of the birth of Shiing-Shen Chern, one of the greatest geometers of the 20th century and MSRI's co-founder. In commemoration of Chern's work, MSRI and CIM will hold a two-week international mathematics conference. During the first week, October 24 to 28, 2011, the conference will take place at CIM in Tianjin, China. During the second week, October 30 to November 5, 2011, the conference will be held at MSRI in Berkeley, California.

    The auditorium at MSRI can seat about 140 participants. We advise early registration.

    Updated on Mar 17, 2014 03:01 PM PDT
  197. Workshop Embedding Problems in Banach Spaces and Group Theory

    Organizers: William Johnson* (Texas A&M University), Bruce Kleiner (Yale University and Courant Institute), Gideon Schechtman (Weizmann Institute), Nicole Tomczak-Jaegermann (University of Alberta), and Alain Valette (Université de Neuchâtel)

    This workshop is devoted to various kinds of embeddings of metric spaces into Banach spaces, including biLipschitz embeddings, uniform embeddings, and coarse embeddings, as well as linear embeddings of finite dimensional spaces into low dimensional $\ell_p^n$ spaces. There will be an emphasis on the relevance to geometric group theory, and an exploration into the use of metric differentiation theory to effect embeddings.

    Updated on Jun 07, 2013 03:06 PM PDT
  198. Seminar RD in higher rank

    Updated on Sep 30, 2011 04:22 AM PDT
  199. Workshop Probabilistic Reasoning in Quantitative Geometry

    Organizers: Anna Erschler* (Université Paris-Sud), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

    "Probabilistic Reasoning in Quantitative Geometry" refers to the use of probabilistic techniques to prove geometric theorems that do not have any a priori probabilistic content. A classical instance of this approach is the probabilistic method to prove existence of geometric objects (examples include Dvoretzky's theorem, the Johnson-Lindenstrauss lemma, and the use of expanders and random graphs for geometric constructions). Other examples are the use of probabilistic geometric invariants in the local theory of Banach spaces (sums of independent random variables in the context of type and cotype, and martingale-based invariants), the more recent use of such invariants in metric geometry (e.g., Markov type in the context of embedding and extension problems), probabilistic tools in group theory, the use of probabilistic methods to prove geometric inequalities (e.g., maximal inequalities, singular integrals, Grothendieck inequalities), the use of probabilistic reasoning to prove metric embedding results such as Bourgain's embedding theorem (where the embedding is deterministic, but its analysis benefits from a probabilistic interpretation), probabilistic interpretations of curvature and their applications, and the use of probabilistic arguments in the context of isoperimetric problems (e.g., Gaussian, rearrangement, and transportation cost methods).

    Updated on Jun 07, 2013 03:06 PM PDT
  200. Seminar Dvoretsky\\'s Theorem

    Updated on Apr 19, 2015 03:33 AM PDT
  201. Seminar Graph Sparsification

    Updated on Nov 04, 2014 11:52 AM PST
  202. Seminar MSRI Evans Lecture

    Differentiability of Lipschitz functions and tangents of sets

    Updated on Jul 29, 2015 03:29 PM PDT
  203. Workshop Introductory Workshop on Quantitative Geometry

    Organizers: Keith Ball (University College London), Eva Kopecka* (Mathematical Institute, Prague), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

    Quantitative Geometry deals with geometric questions in which quantitative or asymptotic considerations occur. The workshop will provide a mathematical introduction, a foretaste, of the many themes this exciting topic comprises: geometric group theory, theory of Lipschitz functions, large scale and coarse geometry, embeddings of metric spaces, quantitative aspects of Banach space theory, geometric measure theory and of isoperimetry, and more.

    Updated on May 29, 2015 10:00 AM PDT
  204. Workshop Connections for Women in Quantitative Geometry

    Organizers: Keith Ball* (University College London), Eva Kopecka (Mathematical Institute, Prague), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

    This workshop will provide an introduction to the program on Quantitative Geometry. There will be several short lecture series, given by speakers chosen for the accessibility of their lectures, designed to introduce non-specialists or students to some of the major themes of the program.

    Updated on Jul 29, 2015 03:29 PM PDT
  205. Program Quantitative Geometry

    Organizers: Keith Ball (University College London, United Kingdom), Emmanuel Breuillard (Université Paris-Sud 11, France) , Jeff Cheeger (New York University, Courant Institute), Marianna Csornyei (University College London, United Kingdom), Mikhail Gromov (Courant Institute and Institut des Hautes Études Scientifiques, France), Bruce Kleiner (New York University, Courant Institute), Vincent Lafforgue (Université Pierre et Marie Curie, France), Manor Mendel (The Open University of Israel), Assaf Naor* (New York University, Courant Institute), Yuval Peres (Microsoft Research Laboratories), and Terence Tao (University of California, Los Angeles)

    The fall 2011 program "Quantitative Geometry" is devoted to the investigation of geometric questions in which quantitative/asymptotic considerations are inherent and necessary for the formulation of the problems being studied. Such topics arise naturally in a wide range of mathematical disciplines, with significant relevance both to the internal development of the respective fields, as well as to applications in areas such as theoretical computer science. Examples of areas that will be covered by the program are: geometric group theory, the theory of Lipschitz functions (e.g., Lipschitz extension problems and structural aspects such as quantitative differentiation), large scale and coarse geometry, embeddings of metric spaces and their applications to algorithm design, geometric aspects of harmonic analysis and probability, quantitative aspects of linear and non-linear Banach space theory, quantitative aspects of geometric measure theory and isoperimetry, and metric invariants arising from embedding theory and Riemannian geometry. The MSRI program aims to crystallize the interactions between researchers in various relevant fields who might have a lack of common language, even though they are working on related questions.

    Updated on Aug 17, 2015 12:17 AM PDT
  206. Summer Graduate School Cluster Algebras and Cluster Combinatorics

    Organizers: Gregg Musiker (University of Minnesota), Lauren Williams* (University of California, Berkeley)

    Cluster algebras are a class of combinatorially defined rings that provide a unifying structure for phenomena in a variety of algebraic and geometric contexts. A partial list of related areas includes quiver representations, statistical physics, and Teichmuller theory. This summer workshop for graduate students will focus on the combinatorial aspects of cluster algebras, thereby providing a concrete introduction to this rapidly-growing field. Besides providing background on the fundamentals of cluster theory, the summer school will cover complementary topics such as total positivity, the polyhedral geometry of cluster complexes, cluster algebras from surfaces, and connections to statistical physics. No prior knowledge of cluster algebras will be assumed.

    The workshop will consist of four mini-courses with accompanying tutorials. Students will also have opportunities for further exploration using computer packages in Java and Sage.

    Updated on Jun 10, 2015 03:13 PM PDT
  207. Summer Graduate School Toric Varieties in Cortona, Italy

    Organizers: Scientific Committee: David Cox* (Amherst College) and Hal Schenck (University of Illinois)
    Organizing Committee: Giorgio Patrizio (Università di Firenze, Italy) and Sandro Verra (Università di Roma Tre, Italy)

    In cooperation with INdAM (Istituto Nazionale di Alta Matematica) and the SMI (Scuola Matematica Interuniversitaria), MSRI will sponsor a summer graduate workshop (SGW) on toric varieties in Cortona during summer of 2011; the workshop will reprise the very successful SGW on toric varieties held at MSRI in 2009.
    Toric varieties are algebraic varieties defined by combinatorial data, and there is a wonderful interplay between algebra, combinatorics and geometry involved in their study. Many of the key concepts of abstract algebraic geometry (for example, constructing a variety by glueing affine pieces) have very concrete interpretations in the toric case, making toric varieties an ideal tool for introducing students to abstruse concepts.

    Special restrictions apply, please see the workshop homepage.

    Updated on May 07, 2013 11:14 PM PDT
  208. Summer Graduate School Geometric Measure Theory and Applications

    Organizers: Camillo De Lellis (Universität Zürich), Tatiana Toro* (University of Washington)

    Geometric Measure Theory (GMT) is a field of Mathematics that has contributed greatly to the development of the calculus of variations and geometric analysis. In recent years it has experienced a new boom with the development of GMT in the metric space setting which has lead to unexpected applications (for examples to questions arising from theoretical computer sciences). The goal of this summer graduate workshop is to introduce students to different aspects of this field. There will be 5 mini-courses and a couple of research lectures. We expect students to have a solid background in measure theory.

    Updated on Aug 19, 2014 10:21 AM PDT
  209. Summer Graduate School IAS-PCMI Summer School on Moduli Spaces of Riemann Surfaces

    Organizers: Benson Farb (University of Chicago), Richard Hain (Duke University), and Eduard Looijenga (University of Utrecht, Netherlands)

    The study of moduli spaces of Riemann surface is a rich mixture of geometric topology, algebraic topology, complex analysis and algebraic geometry. Each community of researchers that studies these moduli spaces generates its own problems and its own techniques for solving them. However, it is not uncommon for researchers in one community to solve problems generated by another once they become aware of them. The goal of this summer school is to give graduate students a broad background in the various approaches to the study of moduli spaces of Riemann surfaces so that they will be aware of the problems and techniques of many of the communities that study these fascinating objects. Graduate student participants from the various communities will be encouraged to interact with their colleagues from the other communities of students in order to maximize cross fertilization.

    Special restrictions apply, please see the workshop homepage.

    Updated on Apr 27, 2011 06:34 AM PDT
  210. Summer Graduate School Seminaire de Mathematiques Superieures 2011. Metric Measure Spaces: Geometric and Analytic Aspects.

    Organizers: Galia Dafni* (Concordia University, Montreal), Robert McCann (University of Toronto), and Alina Stancu (Concordia University, Montreal)

    In cooperation with the CRM (Centre de Recherches Mathematiques), the Fields Institute, and the PIMS (Pacific Insitute for Mathematical Sciences), MSRI will sponsor a summer graduate workshop on Metric measure spaces: geometric and analytic aspects in Montreal, Canada.
    In recent decades, metric-measure spaces have emerged as a fruitful source of mathematical questions in their own right, and as indispensable tools for addressing classical problems in geometry, topology, dynamical systems and partial differential equations. The purpose of the 2011 summer school is to lead young scientists to the research frontier concerning the analysis and geometry of metric-measure spaces, by exposing them to a series of mini-courses featuring leading researchers who will present both the state-of-the-art and the exciting challenges which remain.

    Special restrictions apply, please see the workshop homepage.

    Updated on May 07, 2013 11:14 PM PDT
  211. MSRI-UP MSRI-UP 2011: Mathematical Finance

    Organizers: Dr. Duane Cooper (Morehouse College), Dr. Ricardo Cortez (Tulane University), Dr. Herbert Medina (Loyola Marymount University), Dr. Ivelisse Rubio (University of Puerto Rico), and Dr. Suzanne Weekes*(Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding.

    Updated on Mar 07, 2012 08:55 AM PST
  212. Summer Graduate School The Dirichlet Space: Connections between Operator Theory, Function Theory, and Complex Analysis

    Organizers: Nicola Arcozzi (Universita' di Bologna), Richard Rochberg (Washington University), Eric T Sawyer (McMaster University), Brett D Wick* (Georgia Institute of Technology)

    This workshop will focus on the classical Dirichlet space of holomorphic functions on the unit disk. This space is at the center of several active, interrelated areas of research that, viewed more broadly, focus on the interaction between function theoretic operator theory and potential theory. There are several goals of this Summer Graduate Workshop. First, mathematically, the workshop will demonstrate the basic properties of the Dirichlet space, then introduce the technique of Trees in Function Spaces. The workshop will show the interconnections between the areas of Complex Analysis, Function Theory, and Operator Theory and will also illustrate the real-variable analogues of the analytic result discussed.

    Updated on Sep 12, 2013 10:19 AM PDT
  213. MSRI-UP MSRI-UP 2011

    Organizers: Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), Herbert Medina (Loyola Marymount University), Ivelisse Rubio (University of Puerto Rico, Rio Piedras Campus), Suzanne Weekes* (Worcester Polytechnic Institute)

    SELECTION OF PARTICIPANTS IS NOW CLOSED.

    The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. MSRI-UP includes summer research opportunities, mentoring, workshops on the graduate school application process, and follow-up support.

    Updated on May 01, 2013 11:54 PM PDT
  214. Summer Graduate School Commutative Algebra

    Organizers: Daniel Erman (Stanford University), Irena Swanson* (Reed College), and Amelia Taylor (Colorado College)

    This workshop will involve a combination of theory and symbolic computation in commutative algebra. The lectures are intended to introduce three active areas of research: Boij-Söderberg theory, algebraic statistics, and integral closure. The lectures will be accompanied with tutorials on the computer algebra system Macaulay 2.

    Updated on Aug 23, 2015 05:37 PM PDT
  215. Seminar AS Informal Seminar

    Updated on Sep 12, 2013 08:53 AM PDT
  216. Seminar AS Informal Seminar

    Updated on Jul 03, 2014 08:45 AM PDT
  217. Seminar AS PD seminar

    Created on Apr 29, 2011 07:52 AM PDT
  218. Seminar 2011 Chern Lectures

    Updated on Apr 05, 2011 05:14 AM PDT
  219. Seminar 2011 Chern Lectures

    Updated on Apr 05, 2011 05:13 AM PDT
  220. Workshop Arithmetic Statistics

    Organizers: Brian Conrey (American Institute of Mathematics), Barry Mazur (Harvard University), and Michael Rubinstein* (University of Waterloo)

    Our workshop will highlight some work relevant to or carried out during our program at the MSRI, including statistical results about ranks for elliptic curves, zeros of L-functions, curves over finite fields, as well as algorithms for L-functions, point counting, and automorphic forms.

    Updated on Jun 07, 2013 03:06 PM PDT
  221. Seminar AS-Informal Study Group

    Updated on Jul 03, 2014 08:45 AM PDT
  222. Seminar 2011 Chern Lectures

    Updated on Apr 05, 2011 05:12 AM PDT
  223. Seminar 2011 Chern Lectures

    Updated on Apr 04, 2011 03:13 AM PDT
  224. Seminar FBP-Informal Seminar

    Updated on Apr 01, 2011 03:03 AM PDT
  225. Seminar SSL group, course "Space Weather"

    Group will visit the first floor terrace to catch a view of the satellite dish.

    Created on Mar 10, 2011 01:27 AM PST
  226. Workshop Free Boundary Problems, Theory and Applications

    Organizers: John King (University of Nottingham), Arshak Petrosyan* (Purdue University), Henrik Shahgholian (Royal Institute of Technology), and Georg Weiss (University of Dusseldorf)

    Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The main objective of the workshop is to bring together experts in various theoretical an applied aspects of free boundary problems.

    Updated on Jun 07, 2013 03:05 PM PDT
  227. Seminar AS-FRG Project


    Updated on Sep 12, 2013 08:53 AM PDT
  228. Workshop Workshop on Mathematics Journals

    Organizers: James M Crowley (Society for Industrial and Applied Mathematics), Susan Hezlet* (London Mathematical Society), Robion C Kirby (University of California, Berkeley), and Donald E McClure (American Mathematical Society)

    Mathematics relies on its journal literature as the main conduit for peer review and dissemination of research, and it does so more heavily and differently to other scientific fields. The conflict between universal access and the traditional subscription model that funds the journals has been debated for the past decade, while hard data on financial sustainability and usage under the different models has been slow to appear. However the last ten years have seen the move from print to the electronic version of journals becoming the version of record and the workshop plans to take an evidence-based approach to discussing dissemination, access and usage of mathematics journals.

    Updated on Jun 07, 2013 03:00 PM PDT
  229. Seminar The Arithmetic of Quadratic Forms

    Refreshments after lecture at La Val\\\\\\'s Pizza.




    Updated on Feb 13, 2011 02:31 AM PST
  230. Seminar AS-FRG Project




    Updated on Jan 28, 2011 05:27 AM PST
  231. Seminar Order and Chaos





    Updated on Sep 11, 2013 12:54 PM PDT
  232. Seminar Low-Lying Zeros"

    Created on Feb 07, 2011 04:39 AM PST
  233. Seminar AS-Informal Study Group


    Updated on Jan 24, 2011 08:36 AM PST
  234. Seminar MSRI-Evans Lecture- Henryk Iwaniec

    Refreshments after lecture at La Val's Pizza.

    Updated on Jan 15, 2011 08:15 AM PST
  235. Seminar FBP-Working Seminar-TBA


    Updated on Jan 24, 2011 08:27 AM PST
  236. Workshop Introductory Workshop: Arithmetic Statistics

    Organizers: Barry Mazur (Harvard University), Carl Pomerance (Dartmouth College), and Michael Rubinstein* (University of Waterloo)

    Our Introductory Workshop will focus largely on the background, recent work, and current problems regarding: Selmer groups and Mordell-Weil groups, and the distribution of their ranks (and "sizes") over families of elliptic curves, including recent work of Manjul Bhargava and Arul Shankar where they have shown that the average size of the 2-Selmer group of an elliptic curve over Q is 3, and thereby obtains information about the average rank of Mordell-Weil groups; related work on the asymptotics of number fields; certain natural families of L-functions, and the statistical distribution of their zeros and values; complementary algorithmic methods and experimental results regarding L-functions, automorphic forms, elliptic curves and number fields; the statistical behavior of eigenvalues of Frobenius elements in Galois representations.


     

    Updated on Jun 07, 2013 03:00 PM PDT
  237. Seminar Postdoctoral Seminars FBP

    Pizza Lunch

    Updated on Jan 24, 2011 08:17 AM PST
  238. Workshop Connections for Women: Arithmetic Statistics

    Organizers: Chantal David (Concordia University) and Nina Snaith* (University of Bristol)

    The format of this 2-day workshop will be colloquium-style presentations that will introduce some of the major topics touched on by the "Arithmetic Statistics" program. They will be pitched so as to be understandable to researchers with a variety of mathematical backgrounds. The talks are designed broadly as a lead-in to the program's initial workshop (taking place the following week) and will include topics such as the Sato-Tate conjecture, random matrix theory, and enumeration of number fields. The purpose will be to provide background but also to present the exciting areas where progress is happening fast, where major problems have been solved, or where there are significant open questions that need to be tackled. With this we aim to provide motivation for the Connections participants to involve themselves with the remainder of the program.

     

    Updated on Jun 07, 2013 01:27 PM PDT
  239. Seminar "5-Minute Presentations"

    Pizza Lunch 12pm-1:30pm

    Created on Jan 24, 2011 01:22 AM PST
  240. Seminar Free Boundary Problems

    Refreshments after lecture at La Val\\'s Pizza.



    Updated on Jul 07, 2014 08:16 AM PDT
  241. Workshop Introductory Workshop: Free Boundary Problems, Theory and Applications

    Organizers: Tatiana Toro* (University of Washington)

    Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit a priori unknown sets, such as interfaces, moving boundaries or shocks for example. The study of such sets, also known as free boundaries, often plays a central role in the understanding of such problems. The aim of this workshop is to introduce several free boundary problems arising in completely different areas.

    Updated on Jun 07, 2013 03:00 PM PDT
  242. Workshop Connections for Women: Free Boundary Problems, Theory and Applications

    Organizers: Catherine Bandle (University of Basel), Claudia Lederman (University of Buenos Aires), Noemi Wolanski (University of Buenos Aires)

    Contributions of women working in areas related to free boundary problems will be presented. It will include survey lectures on current problems and on standard techniques used in this field, as well as more specific new results of individual researchers. One of the major goals besides the scientific aspect, is to encourage women mathematicians to interact and to build networks. It addresses also to graduate students who are very welcome. A discussion on women’s experiences in the mathematical community should help them to find their way in their mathematical career.

     

    Updated on Jun 07, 2013 01:59 PM PDT
  243. Program Free Boundary Problems, Theory and Applications

    Organizers: Luis Caffarelli (University of Texas, Austin), Henri Berestycki (Centre d'Analyse et de Mathématique Sociales, France), Laurence C. Evans (University of California, Berkeley), Mikhail Feldman (University of Wisconsin, Madison), John Ockendon (University of Oxford, United Kingdom), Arshak Petrosyan (Purdue University), Henrik Shahgholian* (The Royal Institute of Technology, Sweden), Tatiana Toro (University of Washington), and Nina Uraltseva (Steklov Mathematical Institute, Russia)

    This program aims at the study of various topics within the area of Free Boundaries Problems, from the viewpoints of theory and applications. Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The aim of this program is to gather experts in the field with knowledge of various applied and theoretical aspects of free boundary problems.

    Updated on Aug 17, 2015 11:55 AM PDT
  244. Program Arithmetic Statistics

    Organizers: Brian Conrey (American Institute of Mathematics), John Cremona (University of Warwick, United Kingdom), Barry Mazur (Harvard University), Michael Rubinstein* (University of Waterloo, Canada ), Peter Sarnak (Princeton University), Nina Snaith (University of Bristol, United Kingdom), and William Stein (University of Washington)

    L -functions attached to modular forms and/or to algebraic varieties and algebraic number fields are prominent in quite a wide range of number theoretic issues, and our recent growth of understanding of the analytic properties of L-functions has already lead to profound applications regarding among other things the statistics related to arithmetic problems. This program will emphasize statistical aspects of L-functions, modular forms, and associated arithmetic and algebraic objects from several different perspectives — theoretical, algorithmic, and experimental.

    Updated on Aug 14, 2015 09:24 AM PDT
  245. Workshop Random Matrix Theory and its Applications II

    Organizers: Alexei Borodin* (California Institute of Technology), Percy Deift (Courant Institute of Mathematical Sciences), Alice Guionnet (Ecole Normale Supérieure de Lyon), Pierre van Moerbeke (Universite Catholique de Louvain and Brandeis University), and Craig A.Tracy (University of California, Davis)

    Random matrix theory (RMT) was introduced into the theoretical physics community by Eugene Wignerinthe 1950s as a model for the scattering resonances of neutrons off large nuclei. In multivariate statistics, random matrix models were introduced in the late 1920s by John Wishart and subsequently developed by Anderson, James and others. Since these early beginnings RMT has found an extraordinary variety of mathematical, physical and engineering applications that, to name some, include number theory, stochastic growth models, tiling problems and wireless communications.

     

    Updated on Oct 06, 2014 12:49 PM PDT
  246. Seminar Random sorting networks


    Updated on Nov 29, 2010 03:33 AM PST
  247. Workshop SIAM/MSRI workshop on Hybrid Methodologies for Symbolic-Numeric Computation

    Organizers: Mark Giesbrecht (University of Waterloo), Erich Kaltofen* (North Carolina State University), Daniel Lichtblau (Wolfram Research), Seth Sullivant (North Carolina State University), and Lihong Zhi (Chinese Academy of Sciences, Beijing)

    This workshop will provide a forum for researchers on both sides (and the middle!) of hybrid symbolic-numeric computation. We anticipate inviting as primary speakers some of the original contributors in the field, as well as younger researchers making strong contributions on different aspects of the field.


     

    Updated on Jun 07, 2013 01:57 PM PDT
  248. Workshop Inverse Problems: Theory and Applications

    Organizers: Liliana Borcea (Rice University), Carlos Kenig (University of Chicago), Maarten de Hoop (Purdue University), Peter Kuchment (Texas A&M University), Lassi Paivarinta (University of Helsinki), and Gunther Uhlmann* (University of Washington)

    Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modelling in the life sciences.
    The speakers in the workshop will cover a broad range of the most recent developments in the theory and applications of inverse problems.





     

    Updated on Jun 07, 2013 02:59 PM PDT
  249. Workshop Hot Topics: Kervaire invariant

    Organizers: Mike Hill (University of Virginia), Michael Hopkins (Harvard University), and Douglas C. Ravanel* (University of Rochester)

    This workshop will focus on the ideas surrounding the recent solution to the Arf-Kervaire invariant problem in stable homotopy theory by Mike Hill, Mike Hopkins and Doug Ravenel. There will be talks on relevant aspects of equivariant stable homotopy theory, including the norm functor and the slice tower. The pertinent parts of chromatic homotopy theory will be covered including formal groups and formal $A$-modules, the Hopkins-Miller theorem, finite subgroups of Morava stabilizer groups and Ravenel's 1978 solution to the analogous problem at primes bigger than 3. There will also be several talks by the organizers giving a detailed account of the proof of the main theorem. Finally there will be a discussion of the questions raised by the unexpected statement of the theorem.




     

    Updated on Jun 07, 2013 02:59 PM PDT
  250. Workshop Bay Area Differential Geometry (BADG) Seminar Fall 2010

    Organizers: David Bao (San Francisco State University), Robert Bryant (Mathematical Sciences Research Institute), Joel Hass (University of California, Davis), David Hoffman* (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)

    The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1-day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from mid-morning until late afternoon, with 3-4 speakers. Lunch will be available at MSRI (participants will be asked to make a donation to help defray their lunch expenses) and the final talk will be followed by dinner. The schedule (with speakers) will be posted as soon as it becomes available.The October 23rd meeting takes place on the 60th bi