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  1. Summer Graduate School Representations of High Dimensional Data

    Organizers: Blake Hunter (Microsoft), Deanna Needell (University of California, Los Angeles)
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    In today's world, data is exploding at a faster rate than computer architectures can handle. This summer school will introduce students to modern and innovative mathematical techniques that address this phenomenon. Hands-on topics will include data mining, compression, classification, topic modeling, large-scale stochastic optimization, and more.

    Updated on Jul 19, 2018 11:45 AM PDT
  2. Summer Graduate School Derived Categories

    Organizers: Nicolas Addington (University of Oregon), LEAD Alexander Polishchuk (University of Oregon)

    The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov’s equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.

    Updated on Jul 05, 2018 09:05 AM PDT
  3. Summer Graduate School H-principle

    Organizers: Emmy Murphy (Northwestern University), Takashi Tsuboi (University of Tokyo)
    072 04 small
    The image of a large sphere isometrically embedded into a small space through a C^1 embedding. (Attributions: E. Bartzos, V. Borrelli, R. Denis, F. Lazarus, D. Rohmer, B. Thibert)

    This two week summer school will introduce graduate students to the theory of h-principles.  After building up the theory from basic smooth topology, we will focus on more recent developments of the theory, particularly applications to symplectic and contact geometry, and foliation theory.

    Updated on Jun 20, 2018 12:17 PM PDT
  4. Summer Graduate School Mathematical Analysis of Behavior

    Organizers: Ann Hermundstad (Janelia Research Campus, HHMI), Vivek Jayaraman (Janelia Research Campus, HHMI), Eva Kanso (University of Southern California), L. Mahadevan (Harvard University)
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    Explore Outstanding Phenomena in Animal Behavior

    Jointly hosted by Janelia and the Mathematical Sciences Research Institute (MSRI), this program will bring together 15-20 advanced PhD students with complementary expertise who are interested in working at the interface of mathematics and biology. Emphasis will be placed on linking behavior to neural dynamics and exploring the coupling between these processes and the natural sensory environment of the organism. The aim is to educate a new type of global scientist that will work collaboratively in tackling complex problems in cellular, circuit and behavioral biology by combining experimental and computational techniques with rigorous mathematics and physics.

    Updated on Jun 20, 2018 12:16 PM PDT
  5. Summer Graduate School The ∂-Problem in the Twenty-First Century

    Organizers: Debraj Chakrabarti (Central Michigan University), Jeffery McNeal (Ohio State University)

    This Summer Graduate School will introduce students to the modern theory of the  inhomogeneous Cauchy-Riemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be self-contained and the prerequisites will be kept at a minimum

    Updated on Jun 21, 2018 01:13 PM PDT
  6. Summer Graduate School Séminaire de Mathématiques Supérieures 2018: Derived Geometry and Higher Categorical Structures in Geometry and Physics

    Organizers: Anton Alekseev (Université de Genève), Ruxandra Moraru (University of Waterloo), Chenchang Zhu (Universität Göttingen)

    Higher categorical structures and homotopy methods have made significant influence on geometry in recent years. This summer school is aimed at transferring these ideas and fundamental technical tools to the next generation of mathematicians.

    The summer school will focus on the following four topics:  higher categorical structures in geometry, derived geometry, factorization algebras, and their application in physics.  There will be eight to ten mini courses on these topics, including mini courses led by Chirs Brav, Kevin Costello, Jacob Lurie, and Ezra Getzler. The prerequisites will be kept at a minimum, however, a introductory courses in differential geometry, algebraic topology and abstract algebra are recommended.

    Updated on Jun 20, 2018 12:16 PM PDT
  7. Workshop The 2018 Infinite Possibilities Conference

    Organizers: Alejandra Alvarado (U.S. Navy), Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Rebecca Garcia (Sam Houston State University), Katharine Gurski (Howard University), LEAD Lily Khadjavi (Loyola Marymount University), Candice Price (University of San Diego), Kimberly Sellers (Georgetown University), Talitha Washington (Howard University), Kimberly Weems (North Carolina Central University), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))
    Ipc logo alt

    The Infinite Possibilities Conference (IPC) is a national conference that is designed to promote, educate, encourage and support women of color interested in mathematics and statistics, as a step towards addressing the underrepresentation of African-Americans, Latinas, Native Americans, and Pacific Islanders in these fields. 

    IPC aims to:

    • fulfill a need for role models and community-building
    • provide greater access to information and resources for success in graduate school and beyond
    • raise awareness of factors that can support or impede underrepresented women in the mathematical sciences

    A unique gathering, the conference brings together participants from across the country, at all stages of education and career, for mentoring and mathematics.

    Updated on May 18, 2018 12:18 PM PDT
  8. Workshop Representations of Finite and Algebraic Groups

    Organizers: Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (Rutgers University)

    The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of basic problems and conjectures in the field. Topics of the workshop include
    -- Global-local conjectures in the representation theory of finite groups
    -- Representations and cohomology of simple, algebraic and finite groups
    -- Connections to Lie theory and categorification, and
    -- Applications to group theory, number theory, algebraic geometry, and combinatorics.

    Updated on May 25, 2018 11:23 AM PDT
  9. Seminar EGN Open GW seminar:

    Created on Feb 05, 2018 03:55 PM PST
  10. Workshop Structures in Enumerative Geometry

    Organizers: Mina Aganagic (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Davesh Maulik (Massachusetts Institute of Technology), Balazs Szendroi (University of Oxford), Richard Thomas (Imperial College, London)

    The purpose of the workshop is to bring together specialists to work on understanding the many-faceted mathematical structures underlying problems in enumerative geometry. Topics represented at the workshop will include: geometric representation theory, supersymmetric gauge theory, string theory, knot theory, and derived geometry, all of which have had a profound effect on the development of modern enumerative geometry.

    Updated on Jun 29, 2018 10:50 AM PDT
  11. Workshop Hot Topics: The Homological Conjectures

    Organizers: Bhargav Bhatt (University of Michigan), Srikanth Iyengar (University of Utah), Wieslawa Niziol (CNRS, Ecole Normale Superieure de Lyon), LEAD Anurag Singh (University of Utah)

    The homological conjectures in commutative algebra are a network of conjectures that have generated a tremendous amount of activity in the last 50 years. They had largely been resolved for commutative rings that contain a field, but, with the exception of some low dimensional cases, several remained open in mixed characteristic --- until recently, when Yves André announced a proof of Hochster's Direct Summand Conjecture. The progress comes from systematically applying Scholze's theory of perfectoid spaces, which had already shown its value by solving formidable problems in number theory and representation theory. One of the goals of the workshop is to cover the ingredients going into the proofs of the Direct Summand Conjecture.

    Updated on Mar 23, 2018 11:01 AM PDT
  12. Workshop Latinx in the Mathematical Sciences Conference 2018

    Organizers: Federico Ardila (San Francisco State University), Ricardo Cortez (Tulane University), Tatiana Toro (University of Washington), Mariel Vazquez (University of California, Davis)

    On March 8-10, 2018, IPAM will host a conference showcasing the achievements of Latinx in the mathematical sciences. The goal of the conference is to encourage Latinx to pursue careers in the mathematical sciences, to promote the advancement of Latinx currently in the discipline, to showcase research being conducted by Latinx at the forefront of their fields, and, finally, to build a community around shared academic interests. The conference will be held on the UCLA campus in Los Angeles, CA. It will begin at noon on Thursday, March 8.

    This conference is sponsored by the Mathematical Sciences Institutes Diversity Initiative, with funding from the National Science Foundation Division of Mathematical Sciences.

    Updated on Oct 23, 2017 04:53 PM PDT
  13. Seminar 5-Minute Talks

    Updated on Feb 08, 2018 01:48 PM PST
  14. Seminar 5-Minute Talks

    Updated on Feb 08, 2018 01:47 PM PST
  15. Seminar 5-Minute Talks

    Updated on Feb 08, 2018 01:47 PM PST
  16. Workshop Introductory Workshop: Group Representation Theory and Applications

    Organizers: Robert Guralnick (University of Southern California), Gunter Malle (Universität Kaiserslautern)

    The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will consist of 6 series of 3 lectures each given by top experts in the field. The lectures are designed for a diverse audience and will be accessible to non-specialists and graduate students with some background in representation theory. Topics covered include Representation theory of algebraic groups, Decomposition numbers of finite groups of Lie type, Deligne-Lusztig theory,  Block theory, Categorification, and Local-global-conjectures.

    Updated on Feb 16, 2018 09:33 AM PST
  17. Workshop Connections for Women: Group Representation Theory and Applications

    Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)

    This intensive two day workshop will introduce graduate students and recent PhD’s to some current topics of research in Representation Theory. It will consists of a mixture of survey talks on the hot topics in the area given by leading experts and research talks by junior mathematicians covering subjects such as new developments in character theory, group cohomology, representations of Lie algebras and algebraic groups, geometric representation theory, and categorification. 

    This workshop is open to all mathematicians.

    Updated on Apr 10, 2018 10:49 AM PDT
  18. Workshop Introductory Workshop: Enumerative Geometry Beyond Numbers

    Organizers: Denis Auroux (University of California, Berkeley), LEAD Chiu-Chu Melissa Liu (Columbia University), Andrei Okounkov (Columbia University)

    This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curves or sheaves, including Gromov-Witten and Donaldson-Thomas invariants; motivic and K-theoretic refinement of these invariants; and categorical invariants (derived categories of coherent sheaves, Fukaya categories).

    Updated on Apr 06, 2018 01:03 PM PDT
  19. Workshop Connections for Women: Enumerative Geometry Beyond Numbers

    Organizers: Barbara Fantechi (International School for Advanced Studies (SISSA/ISAS)), LEAD Chiu-Chu Melissa Liu (Columbia University)

    This two-day workshop will provide an overview of significant developments and open problems in modern enumerative geometry, from the perspectives of both algebraic geometry and symplectic topology. 

    This workshop is open to all mathematicians.

    Updated on Jan 26, 2018 09:37 AM PST
  20. Program Group Representation Theory and Applications

    Organizers: Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), Julia Pevtsova (University of Washington), Raphael Rouquier (University of California, Los Angeles), LEAD Pham Tiep (Rutgers University)

    Group Representation Theory is a central area of Algebra, with important and deep connections to areas as varied as topology, algebraic geometry, number theory, Lie theory, homological algebra, and mathematical physics. Born more than a century ago, the area still abounds with basic problems and fundamental conjectures, some of which have been open for over five decades. Very recent breakthroughs have led to the hope that some of these conjectures can finally be settled. In turn, recent results in group representation theory have helped achieve substantial progress in a vast number of applications.

    The goal of the program is to investigate all these deep problems and the wealth of new results and directions, to obtain major progress in the area, and to explore further applications of group representation theory to other branches of mathematics.

    Updated on Jan 12, 2018 04:00 PM PST
  21. Program Enumerative Geometry Beyond Numbers

    Organizers: Mina Aganagic (University of California, Berkeley), Denis Auroux (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Andrei Okounkov (Columbia University), Balazs Szendroi (University of Oxford)

    Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation-, or knot-theoretic structures. This semester-long program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.

    Updated on Jan 16, 2018 10:12 AM PST
  22. Workshop Women in Topology

    Organizers: Maria Basterra (University of New Hampshire), Kristine Bauer (University of Calgary), LEAD Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), Brenda Johnson (Union College--Union University)

    The Women in Topology (WIT) network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues.  The MSRI WIT meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants.

     

    Updated on Dec 11, 2017 10:39 AM PST
  23. Seminar GTC Graduate Seminar

    Created on Aug 18, 2017 11:45 AM PDT
  24. Seminar GTC Graduate Seminar

    Created on Aug 18, 2017 11:45 AM PDT
  25. Workshop Geometric functional analysis and applications

    Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (Technion---Israel Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)

    This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.

    Updated on Apr 30, 2018 01:55 PM PDT
  26. Seminar Writing Seminar

    Created on Oct 04, 2017 03:29 PM PDT
  27. Workshop Bay Area Differential Geometry Seminar (BADGS) Fall 2017

    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)

    Description

    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. Here is the seminar schedule with abstracts and other information: BADG October 2017-Berkeley, CA

    Updated on Oct 18, 2017 01:33 PM PDT
  28. Workshop Modern Math Workshop 2017

    Organizers: Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Leslie McClure (SAMSI - Statistical and Applied Mathematical Sciences Institute), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Ulrica Wilson (Morehouse College; Institute for Computational and Experimental Research in Mathematics (ICERM))

    As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes are pleased to offer their annual SACNAS pre-conference event, the 2017 Modern Math Workshop (MMW). The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhDs in building their research networks. The Modern Math Workshop is part of the SACNAS National Conference; the workshop and the conference take place in the Salt Palace Convention Center in Salt Lake City, Utah. The MMW starts at 1:00 pm on Wednesday, October 18 with registration beginning at noon.

    Updated on Oct 12, 2017 02:36 PM PDT
  29. Workshop Geometric and topological combinatorics: Modern techniques and methods

    Organizers: Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (University of California, Berkeley), Frank Vallentin (Universität zu Köln), Günter Ziegler (Freie Universität Berlin)

    This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as 

    -- polytopes and cell complexes,
    -- simplicial complexes and higher order graph theory,
    -- methods from equivariant topology and configuration spaces,
    -- geometric combinatorics in optimization and social choice theory,
    -- algebraic and algebro-geometric methods.

    Updated on May 25, 2018 01:29 PM PDT
  30. Seminar GTC Graduate Seminar

    Created on Aug 18, 2017 11:45 AM PDT
  31. Seminar 5-Minute Talks

    Created on Sep 01, 2017 01:52 PM PDT
  32. Seminar 5-Minute Talks

    Updated on Sep 08, 2017 04:46 PM PDT
  33. Seminar 5-Minute Talks

    Created on Sep 01, 2017 01:52 PM PDT
  34. Workshop Introductory Workshop: Geometric and Topological Combinatorics

    Organizers: Imre Barany (Alfréd Rényi Institute of Mathematics), Anders Björner (Royal Institute of Technology (KTH)), LEAD Benjamin Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)

    The introductory workshop will present the main topics that will be the subject of much of the Geometric and Topological Combinatorics Program at MSRI.  Key areas of interest are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. This workshop will consist of introductory talks on a variety of topics, intended for a broad audience. 

    Updated on May 01, 2018 10:00 AM PDT
  35. Workshop Connections for Women Workshop: Geometric and Topological Combinatorics

    Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos Leal (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)

    This workshop will feature lectures on a variety of topics in geometric and topological combinatorics, given by prominent women and men in the field. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.

    Updated on Sep 06, 2017 08:32 AM PDT
  36. Seminar GFA Organizers Meeting

    Created on Aug 22, 2017 01:25 PM PDT
  37. Workshop Introductory Workshop: phenomena in high dimensions

    Organizers: LEAD Alexander Koldobsky (University of Missouri), Michel Ledoux (Institut de Mathématiques de Toulouse), Monika Ludwig (Technische Universität Wien), Alain Pajor (Université de Paris Est Marne-la-Vallée), Stanislaw Szarek (Case Western Reserve University), Roman Vershynin (University of Michigan)

    This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.

    Updated on Sep 05, 2017 11:18 AM PDT
  38. Workshop Connections for Women: geometry and probability in high dimensions

    Organizers: LEAD Shiri Artstein (Tel Aviv University), Marianna Csornyei (University of Chicago), Eva Kopecka (Leopold-Franzens Universität Innsbruck), Elisabeth Werner (Case Western Reserve University)

    This workshop will be on topics connected with Asymptotic Geometric Analysis - a relatively new field, the young finite dimensional cousin of Banach Space theory, functional analysis and classical convexity. We study high, but finite, dimensional objects, where the disorder of many parameters and many dimensions is regularized by convexity assumptions.  This workshop is open to all mathematicians.

    Updated on Aug 29, 2017 10:40 AM PDT
  39. Program Geometric Functional Analysis and Applications

    Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Marianna Csornyei (University of Chicago), Boaz Klartag (Weizmann Institute of Science), Alexander Koldobsky (University of Missouri), Rafal Latala (University of Warsaw), LEAD Mark Rudelson (University of Michigan)

    Geometric functional analysis lies at the interface of convex geometry, functional analysis and probability. It has numerous applications ranging from geometry of numbers and random matrices in pure mathematics to geometric tomography and signal processing in engineering and numerical optimization and learning theory in computer science.

    One of the directions of the program is classical convex geometry, with emphasis on connections with geometric tomography, the study of geometric properties of convex bodies based on information about their sections and projections. Methods of harmonic analysis play an important role here. A closely related direction is asymptotic geometric analysis studying geometric properties of high dimensional objects and normed spaces, especially asymptotics of their quantitative parameters as dimension tends to infinity. The main tools here are concentration of measure and related probabilistic results. Ideas developed in geometric functional analysis have led to progress in several areas of applied mathematics and computer science, including compressed sensing and random matrix methods. These applications as well as the problems coming from computer science will be also emphasised in our program.

    Updated on Aug 23, 2017 03:38 PM PDT
  40. Program Geometric and Topological Combinatorics

    Organizers: Jesus De Loera (University of California, Davis), Victor Reiner (University of Minnesota Twin Cities), LEAD Francisco Santos Leal (University of Cantabria), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington), Günter Ziegler (Freie Universität Berlin)

    Combinatorics is one of the fastest growing areas in contemporary Mathematics, and much of this growth is due to the connections and interactions with other areas of Mathematics. This program is devoted to the very vibrant and active area of interaction between Combinatorics with Geometry and Topology. That is, we focus on (1) the study of the combinatorial properties or structure of geometric and topological objects and (2) the development of geometric and topological techniques to answer combinatorial problems.

    Key examples of geometric objects with intricate combinatorial structure are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. Examples of topology in action answering combinatorial challenges are the by now classical Lovász’s solution of the Kneser conjecture, which yielded functorial approaches to graph coloring, and the  more recent, extensive topological machinery leading to breakthroughs on Tverberg-type problems.

    Updated on Aug 28, 2017 11:26 AM PDT
  41. Summer Graduate School Automorphic Forms and the Langlands Program

    Organizers: LEAD Kevin Buzzard (Imperial College, London)

    The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.

    Updated on Aug 04, 2017 11:02 AM PDT
  42. Summer Graduate School Nonlinear dispersive PDE, quantum many particle systems and the world between

    Organizers: Natasa Pavlovic (University of Texas, Austin), Gigliola Staffilani (Massachusetts Institute of Technology), Nikolaos Tzirakis (University of Illinois at Urbana-Champaign)

    The purpose of the summer school is to introduce graduate students to the recent developments in the area of dispersive partial differential equations (PDE), which have received a great deal of attention from mathematicians, in part due to ubiquitous applications to nonlinear optics, water wave theory and plasma physics.

    Recently remarkable progress has been made in understanding existence and uniqueness of solutions to nonlinear Schrodinger (NLS) and KdV equations, and properties of those solutions. We will outline the basic tools that were developed to address these questions. Also we will present some of recent results on derivation of NLS equations from quantum many particle systems and will discuss how methods developed to study the NLS can be relevant in the context of the derivation of this nonlinear equation.

    Updated on Sep 12, 2017 02:02 PM PDT
  43. Summer Graduate School Positivity Questions in Geometric Combinatorics

    Organizers: Eran Nevo (The Hebrew University of Jerusalem), Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt)

    McMullen’s g-Conjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are non-negative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorial-topological and convex-geometric.  General concepts (such as Lefschetz elements, Hodge–Riemann–Minkowski inequalities) will be developed side-by-side, and analogies will be drawn to concepts in algebraic geometry, Fourier analysis, rigidity theory and measure theory. This allows for entry points for students with varying backgrounds.  The courses will be supplemented with guest lectures highlighting further connections to other fields.

    Updated on Jul 21, 2017 10:13 AM PDT
  44. Summer Graduate School Séminaire de Mathématiques Supérieures 2017: Contemporary Dynamical Systems

    Organizers: Sylvain Crovisier (Université de Paris VI (Pierre et Marie Curie)-Université de Paris XI (Paris-Sud)), LEAD Konstantin Khanin (University of Toronto), Andrés Navas Flores (University of Santiago de Chile), Christiane Rousseau (Université de Montréal), Marcelo Viana (Institute of Pure and Applied Mathematics (IMPA)), Amie Wilkinson (University of Chicago)

    The theory of dynamical systems has witnessed very significant developments in the last decades, includi​n​g the work of two 2014 Fields medalists, Artur Avila and Maryam Mirzakhani. ​The school will concentrate on the recent significant developments in the field of dynamical systems and present some of the present main streams of research. Two central themes will be those of partial hyperbolicity on one side, and rigidity, group actions and renormalization on the other side.​ ​Other themes will ​include homogeneous dynamics and geometry and dynamics on infinitely flat surfaces (both providing connections to the work of Maryam Mirzakhani), topological dynamics, thermodynamical formalism, singularities and bifurcations in analytic dynamical systems.  

    Updated on May 06, 2017 01:18 AM PDT
  45. Summer Graduate School Soergel Bimodules

    Organizers: LEAD Ben Elias (University of Oregon), Geordie Williamson (University of Sydney)

    We will give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the Iwahori-Hecke algebra. We will give a comprehensive introduction to the "tool box" of modern (higher) representation theory: diagrammatics, homotopy categories, categorical diagonalization, module categories, Drinfeld center, algebraic Hodge theory.

    Updated on Jul 10, 2017 01:18 PM PDT
  46. MSRI-UP MSRI-UP 2017: Solving Systems of Polynomial Equations

    Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI - Mathematical Sciences Research Institute), Herbert Medina (Loyola Marymount University), J. Maurice Rojas (Texas A & M University), Suzanne Weekes (Worcester Polytechnic Institute)

    The MSRI-UP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
    In 2017, MSRI-UP will focus on Solving Systems of Polynomial Equations, a topic at the heart of almost every computational problem in the physical and life sciences. We will pay special attention to complexity issues, highlighting connections with tropical geometry, number theory, and the P vs. NP problem. The research program will be led by Prof. J. Maurice Rojas of Texas A&M University.
    Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Due to funding restrictions, only U.S. citizens and permanent residents may apply regardless of funding. Members of underrepresented groups are especially encouraged to apply.
     

    Updated on Jun 28, 2018 05:38 PM PDT
  47. Program Summer Research 2017

    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 31, 2018 12:40 PM PDT
  48. Summer Graduate School Subfactors: planar algebras, quantum symmetries, and random matrices

    Organizers: LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Indiana University)

    Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices

    Updated on Jun 20, 2017 03:34 PM PDT
  49. Workshop Career in Academia

    Organizers: Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Estelle Basor (AIM - American Institute of Mathematics), David Farmer (AIM - American Institute of Mathematics), Sally Koutsoliotas (Bucknell University)

    This workshop will focus on preparing each participant for a successful career as a mathematician at a college or university. Beginning with the hiring process, a thorough discussion of the various elements of the application packet will take place in the context of each participant's materials. Working individually with experienced faculty, participants will review and refine their cover letters, C.V., research, and teaching statements. This will be followed by activities related to the interview. The primary goals of the workshop are to develop an understanding of the hiring process from the institutions' perspective, to refine the application packet, to learn what to expect during the interview process (including the job talk), and to prepare for negotiating salary and start-up packages.

    Additional time will be spent on aspects of the pre-tenure years including the development of a research program, writing grant proposals, and mentoring research students. The three-day workshop will consist of one-on-one work with experienced mentors, small group discussions, critique of written materials, plenary sessions, and time for individual work and consultation.

    Updated on May 06, 2017 01:18 AM PDT
  50. Summer Graduate School Commutative Algebra and Related Topics

    Organizers: Shinobu Hikami (Okinawa Institute of Science and Technology), LEAD Shihoko Ishii (Tokyo Woman's Christian University), Kazuhiko Kurano (Meiji University), Ken-ichi Yoshida (Nihon University)

    The purpose of the school will be to introduce graduate students to foundational results in commutative algebra, with particular emphasis of the diversity of the related topics with commutative algebra. Some of these topics are developing remarkably in this decade and through learning those subjects the graduate students will be stimulated toward future research. 

    Updated on Jun 21, 2017 04:53 PM PDT
  51. Workshop Recent Developments in Harmonic Analysis

    Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    Topics for this workshop will be drawn from the main research directions of this conference, including:
    (1) Restriction, Kakeya, and geometric incidence problems 
    (2) Analysis on nonhomogenous spaces
    (3) Weighted estimates
    (4) Quantitative rectifiability and other topics in PDE

    Updated on May 26, 2017 12:27 PM PDT
  52. Workshop Recent developments in Analytic Number Theory

    Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

    This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the Hardy-Littlewood circle method.

    Updated on Jun 05, 2017 10:26 AM PDT
  53. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2017

    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 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 May 06, 2017 01:18 AM PDT
  54. Workshop Hot Topics: Galois Theory of Periods and Applications

    Organizers: LEAD Francis Brown (All Souls College, University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky ( Higher School of Economics)

    Periods are integrals of algebraic differential forms over algebraically-defined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory.  This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.

    Updated on May 06, 2017 01:18 AM PDT
  55. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2017

    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 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 May 06, 2017 01:18 AM PDT
  56. Seminar Five-Minute Talk Series

    Created on Feb 07, 2017 10:22 AM PST
  57. Seminar Five-Minute Talk Series

    Updated on Feb 07, 2017 10:22 AM PST
  58. Seminar Five-Minute Talk Series

    Created on Feb 07, 2017 10:22 AM PST
  59. Workshop Introductory Workshop: Analytic Number Theory

    Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), Kaisa Matomäki (University of Turku), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))

    The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and L-functions, the circle method, sieve methods, and the theory of exponential sums over finite fields

    Updated on May 06, 2017 01:18 AM PDT
  60. Workshop Connections for Women: Analytic Number Theory

    Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)

    This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field.  The workshop is open to all graduate students, post-docs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events

    Updated on May 06, 2017 01:18 AM PDT
  61. Workshop Introductory Workshop: Harmonic Analysis

    Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    This week-long workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program.  It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field.  There will also be a problem session, to which all participants are encouraged to contribute. 

    Updated on May 06, 2017 01:18 AM PDT
  62. Workshop Connections for Women: Harmonic Analysis

    Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of Wisconsin-Madison)

    This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars.  There will also be a panel discussion.  There will also be a contributed poster session.  This workshop is open to, and poster contributions are welcome from all mathematicians.

     

    Updated on May 06, 2017 01:18 AM PDT
  63. Program Analytic Number Theory

    Organizers: Chantal David (Concordia University), Andrew Granville (Université de Montréal), Emmanuel Kowalski (ETH Zurich), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

    Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields.

    This program will not only give the leading researchers in the area further opportunities to work together, but more importantly give young people the occasion to learn about these topics, and to give them the tools to achieve the next breakthroughs.

    Updated on Jul 10, 2015 03:54 PM PDT
  64. Program Harmonic Analysis

    Organizers: LEAD Michael Christ (University of California, Berkeley), Allan Greenleaf (University of Rochester), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

    The field of Harmonic Analysis dates back to the 19th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform.  In recent decades, the subject has undergone a rapid diversification and expansion, though the decomposition of functions and operators into simpler parts remains a central tool and theme.  
     
    This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions:
         -Restriction, Kakeya, and Geometric Incidence Problems
         -Analysis on Nonhomogeneous Spaces
         -Weighted Norm Inequalities
         -Quantitative Rectifiability and Elliptic PDE.
    Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory.  In particular, we expect a lively interaction with the concurrent program.  

    Updated on Aug 11, 2016 10:49 AM PDT
  65. Seminar Common Lunch

    Created on Dec 09, 2016 01:17 PM PST
  66. Workshop Amenability, coarse embeddability and fixed point properties

    Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)

    The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.

    Updated on May 06, 2017 01:18 AM PDT
  67. Workshop Insect Navigation

    Organizers: Larry Abbott (Columbia University), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Mimi Koehl (University of California, Berkeley)

    A 3-day joint workshop of MSRI and Janelia Research Campus of the Howard Hughes Medical Institute

    Navigation in flies, mosquitos and ants is an interesting scientific problem that has considerable societal importance because of their role as disease vectors. This meeting will address two important aspects of navigation: 1) how are locations and orientations in space computed, represented and used in the insect brain, and 2) how do interactions between an organism and its environment affect its ability to navigate.

    Updated on May 06, 2017 01:18 AM PDT
  68. Workshop Bay Area Differential Geometry Seminar (BADGS) Winter 2016

    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 May 06, 2017 01:18 AM PDT
  69. Seminar Common Lunch

    Created on Aug 25, 2016 01:53 PM PDT
  70. Seminar Expanders

    Created on Nov 21, 2016 10:20 AM PST
  71. Seminar Reading Group

    Created on Nov 16, 2016 10:24 AM PST
  72. Seminar Common Lunch

    Created on Aug 25, 2016 01:50 PM PDT
  73. Seminar Common Lunch

    Created on Aug 25, 2016 01:49 PM PDT
  74. Seminar Math on YouTube

    Created on Sep 13, 2016 09:50 AM PDT
  75. Seminar Common Lunch

    Created on Aug 25, 2016 01:48 PM PDT
  76. Seminar Common Lunch

    Created on Aug 25, 2016 01:47 PM PDT
  77. Seminar Common Lunch

    Created on Aug 25, 2016 01:46 PM PDT
  78. Workshop Groups acting on CAT(0) spaces

    Organizers: Ian Agol (University of California, Berkeley), Pierre-Emmanuel Caprace (Université Catholique de Louvain), Koji Fujiwara (Kyoto University), Alessandra Iozzi (ETH Zürich), LEAD Michah Sageev (Technion---Israel Institute of Technology)

    The theme of the workshop is algebraic, geometric and analytical aspects of groups that act by isometries on spaces of non-positive curvature known as CAT(0) spaces. The world of CAT(0) spaces includes classical spaces such as symmetric spaces and buildings, as well as more avant-garde arrivals, such as CAT(0) cube complex. The workshop will bring together researchers studying various aspects of such groups and spaces to discuss recent developments and chart new directions in the field. 

    Updated on May 06, 2017 01:18 AM PDT
  79. Seminar Common Lunch

    Created on Aug 25, 2016 01:44 PM PDT
  80. Seminar Job Market Panel

    Created on Sep 16, 2016 11:22 AM PDT
  81. Seminar Common Lunch

    Created on Aug 25, 2016 01:41 PM PDT
  82. Seminar Graduate Student Seminar

    Created on Aug 25, 2016 02:02 PM PDT
  83. Seminar Common Lunch

    Created on Aug 25, 2016 01:34 PM PDT
  84. Seminar MSRI Fall 5-Minute Talks

    Created on Aug 26, 2016 01:56 PM PDT
  85. Seminar Common Lunch

    Created on Aug 24, 2016 08:42 AM PDT
  86. Seminar Postdoc Mentor Meeting

    Created on Aug 26, 2016 01:49 PM PDT
  87. Workshop Introductory Workshop: Geometric Group Theory

    Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Chicago), LEAD zlil sela (The Hebrew University of Jerusalem), Karen Vogtmann (University of Warwick)

    This will be an introductory workshop to the MSRI jumbo program Geometric Group Theory being held during the Fall Semester of 2016. The purpose of the workshop is to provide an overview of key areas of research to be covered in the program, including an introduction to open problems of current interest.

    Updated on May 06, 2017 01:18 AM PDT
  88. Workshop Connections for Women: Geometric Group Theory

    Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université Nice Sophia-Antipolis), Mark Feighn (Rutgers University), Talia Fernós (University of North Carolina)

    This three-day workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory.  Each speaker will give two lectures, separated by a break-out session during which participants will meet in small groups to discuss ideas presented in the first lecture.   The workshop is open to all mathematicians. 

    Updated on May 06, 2017 01:18 AM PDT
  89. Program Geometric Group Theory

    Organizers: Ian Agol (University of California, Berkeley), Mladen Bestvina (University of Utah), Cornelia Drutu (University of Oxford), LEAD Mark Feighn (Rutgers University), Michah Sageev (Technion---Israel Institute of Technology), Karen Vogtmann (University of Warwick)

    The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms problems from diverse areas of mathematics and then solving them with a variety of tools. The growing list of areas where this general approach has been successful includes low-dimensional topology, the theory of manifolds, algebraic topology, complex dynamics, combinatorial group theory, algebra, logic, the study of various classical families of groups, Riemannian geometry and representation theory.


    The goals of this MSRI program are to bring together people from the various branches of the field in order to consolidate recent progress, chart new directions, and train the next generation of geometric group theorists.

    Updated on Aug 11, 2016 08:44 AM PDT
  90. Program Complementary Program (2016-17)

    The Complementary Program has a limited number of memberships that are open to mathematicians whose interests are not closely related to the core programs; special consideration is given to mathematicians who are partners of an invited member of a core program. 

    Updated on Apr 14, 2017 10:04 AM PDT
  91. Summer Graduate School Chip Firing and Tropical Curves

    Organizers: LEAD Matthew Baker (Georgia Institute of Technology), David Jensen (University of Kentucky), Sam Payne (Yale University)

    Tropical geometry uses a combination of techniques from algebraic geometry, combinatorics, and convex polyhedral geometry to study degenerations of algebraic varieties; the simplest tropical objects are tropical curves, which one can think of as "shadows" of algebraic curves.  Linear equivalence of divisors on an abstract tropical curve is determined by a simple but rich combinatorial process called "chip firing", which was discovered independently in the discrete setting by physicists and graph theorists.  From a pedagogical point of view, one can view tropical curves as a combinatorial model for the highly analogous but more abstract theory of algebraic curves, but there is in fact much more to the story than this: one can use tropical curves and chip firing to prove theorems in algebraic geometry and number theory.  This field is relatively new, so participants will have the opportunity to start from scratch and still get a glimpse of the cutting edge in this active research area.

    Updated on May 06, 2017 01:18 AM PDT
  92. Summer Graduate School Electronic Structure Theory

    Organizers: LEAD Lin Lin (University of California, Berkeley), Jianfeng Lu (Duke University), James Sethian (University of California, Berkeley)

    Ab initio or first principle electronic structure theories, particularly represented by Kohn-Sham density functional theory (KS-DFT), have been developed into workhorse tools with a wide range of scientific applications in chemistry, physics, materials science, biology etc. What is needed are new techniques that greatly extend the applicability and versatility of these approaches. At the core, many of the challenges that need to be addressed are essentially mathematical. The purpose of the workshop is to provide graduate students a self-contained introduction to electronic structure theory, with particular emphasis on frontier topics in aspects of applied analysis and numerical methods. 

    Updated on May 06, 2017 01:18 AM PDT
  93. Summer Graduate School An Introduction to Character Theory and the McKay Conjecture

    Organizers: Robert Guralnick (University of Southern California), Pham Tiep (Rutgers University)

    Character Theory of Finite Groups provides one of the most powerful tools to study groups. In this course we will give a gentle introduction to basic results in the Character Theory, as well as some of the main conjectures in Group Representation Theory, with particular emphasis on the McKay Conjecture.

     

    Group Photo

    Updated on May 06, 2017 01:18 AM PDT
  94. Summer Graduate School Mixed Integer Nonlinear Programming: Theory, algorithms and applications

    Organizers: Francisco Castro (University of Sevilla), Elena Fernandez (Universitat Politecnica de Catalunya), Justo Puerto (University of Sevilla)

    This school is oriented to the presentation of theory, algorithms and applications for the solution of mixed integer nonlinear problems (MINLP). This type of problems appears in numerous application areas where the modelization of nonlinear phenomena with logical constraints is important; we must remember here the memorable phrase “the world is nonlinear”. Nowadays the theoretical aspects of this area are spread in a number of recent papers which makes it difficult, for non-specialist, to have a solid background of the existing results and new advances in the field. This school aims to organize and present this material in an organized way. Moreover, it also pursues to link theory with actual applications. In particular, remarkable applications can be found in air traffic control agencies, the air companies, the electric power generation companies, the chemical complex units, the analysis of financial products usually associated with risk dealing and in the algorithms in the statistical field and artificial intelligence as for instance artificial neural networks, or supporting vector machines, among many others.

    Updated on May 06, 2017 01:18 AM PDT
  95. Seminar Algebraic Vision

    Created on Jun 15, 2016 02:44 PM PDT
  96. Summer Graduate School Harmonic Analysis and Elliptic Equations on real Euclidean Spaces and on Rough Sets

    Organizers: LEAD Steven Hofmann (University of Missouri), Jose Maria Martell (Instituto de Ciencias Matematicas (ICMAT))

    The goal of the workshop is to present harmonic analysis techniques in $R^n$ (the ``flat" setting), and then to show how those techniques extend to much rougher settings, with application to the theory of elliptic equations. Thus, the subject matter of the workshop will introduce the students to an active, current research area:  the interface between harmonic analysis, elliptic PDE, and geometric measure theory.

    Group Photo

    Updated on May 06, 2017 01:18 AM PDT
  97. MSRI-UP MSRI-UP 2016: Sandpile Groups

    Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI - Mathematical Sciences Research Institute), Luis Garcia Puente (Sam Houston State University), Herbert Medina (Loyola Marymount University), LEAD 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 2016 program will be led by Prof. Luis Garcia-Puente of Sam Houston State University.

    Updated on Aug 17, 2017 11:42 AM PDT
  98. Program Summer Research 2016

    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 Mar 22, 2016 11:58 AM PDT
  99. Summer Graduate School Seminaire de Mathematiques Superieures 2016: Dynamics of Biological Systems

    Organizers: Thomas Hillen (University of Alberta), Mark Lewis (University of Alberta), Yingfei Yi (University of Alberta)

    The purpose of this summer school is to focus on the interplay of dynamical and biological systems, developing the rich connectionbetween science and mathematics that has been so successful to date. Our focus will be on understanding the mathematical structure of dynamical systems that come from biological problems, and then relating the mathematical structures back to the biology to provide scientific insight. We will focus on five key areas: complex bio-networks, multi scale biological dynamics, biological waves, nonlinear dynamics of pattern formation, and disease dynamics. For each of the five key areas, we will invite 2-3 world leaders who are also excellent communicators to deliver a series of 2-4 one-hour lectures. We expect an average of eight hours of lecture per subject area, spread over approximately two weeks.

    Updated on May 06, 2017 01:18 AM PDT
  100. Workshop Geometric Flows in Riemannian and Complex Geometry

    Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)

    The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include

    - Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4-manifold topology. Ricci flow in higher dimensions under curvature assumptions.

    - Kähler-Ricci Flow. Applications to the Kähler-Einstein problem. Connections to the minimal model program. Study of Kähler-Ricci solitons and limits of Kähler-Ricci flow.

    - Mean curvature flow. Singularity analysis. Generic mean curvature flow.

    - Other geometric flows such as Calabi flow and pluriclosed flow.

    Updated on May 06, 2017 01:18 AM PDT
  101. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2016

    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 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 May 06, 2017 01:18 AM PDT
  102. Seminar Geometric Analysis

    Created on Jan 27, 2016 03:55 PM PST
  103. Workshop Hot Topics: Cluster algebras and wall-crossing

    Organizers: LEAD Mark Gross (University of Cambridge), Paul Hacking (University of Massachusetts, Amherst), Sean Keel (University of Texas, Austin), Lauren Williams (University of California, Berkeley)

    Cluster algebras were introduced in 2001 by Fomin and Zelevinsky to capture the combinatorics of canonical bases and total positivity in semisimple Lie groups. Since then they have revealed a rich combinatorial and group-theoretic structure, and have had significant impact beyond these initial subjects, including string theory, algebraic geometry, and mirror symmetry. Recently Gross, Hacking, Keel and Kontsevich released a preprint introducing mirror symmetry techniques into the subject which resolved several long-standing conjectures, including the construction of canonical bases for cluster algebras and positivity of the Laurent phenomenon. This preprint reformulates the basic construction of cluster algebras in terms of scattering diagrams (or wall-crossing structures). This leads to the proofs of the conjectures and to new constructions of elements of cluster algebras. But fundamentally they provide a new tool for thinking about cluster algebras.

    The workshop will bring together many of the different users of cluster algebras to achieve a synthesis of these new techniques with many of the different aspects of the subject. There will be lecture series on the new techniques, and other lecture series on connections with Lie theory, quiver representation theory, mirror symmetry, string theory, and stability conditions.

     

     

    Updated on May 06, 2017 01:18 AM PDT
  104. Workshop Kähler Geometry, Einstein Metrics, and Generalizations

    Organizers: Olivier Biquard (École Normale Supérieure), Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)

    The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include

    - Existence of Kähler-Einstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.

    - Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.

    - Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solitons.

    - Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.

    Updated on May 06, 2017 01:18 AM PDT
  105. Seminar MathSciNet in 2016

    Created on Mar 15, 2016 02:52 PM PDT
  106. Seminar Math on YouTube

    Updated on Feb 12, 2016 04:46 PM PST
  107. Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2016

    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 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 May 06, 2017 01:18 AM PDT
  108. Seminar 5-minute Talks

    Created on Jan 22, 2016 12:42 PM PST
  109. Seminar 5-minute Talks

    Updated on Jan 22, 2016 12:41 PM PST
  110. Workshop NSF Day at Pasadena City College

    Organizers: Lisa-Joy Zgorski (National Science Foundation)

    NSF Day at Pasadena City College will discuss funding for researchers at 2- and 4-year institutions. 

    Updated on May 06, 2017 01:18 AM PDT
  111. Workshop Introductory Workshop: Modern Riemannian Geometry

    Organizers: LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of Wisconsin-Madison)

    The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semi-expository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop.

    Updated on May 06, 2017 01:18 AM PDT
  112. Workshop Connections for Women: Differential Geometry

    Organizers: Christine Breiner (Fordham University), LEAD Natasa Sesum (Rutgers University)

    The purpose of this meeting is to help junior female researchers to become familiar with the focus topics of the main MSRI program, and also for the junior researchers to have an opportunity to get acquainted with more senior women researchers in differential geometry.

    This workshop is open to all mathematicians.

    Updated on May 06, 2017 01:18 AM PDT
  113. Program Differential Geometry

    Organizers: Tobias Colding (Massachusetts Institute of Technology), Simon Donaldson (Imperial College, London), John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)

    Differential geometry is a subject with both deep roots and recent advances. Many old problems in the field have recently been solved, such as the Poincaré and geometrization conjectures by Perelman, the quarter pinching conjecture by Brendle-Schoen, the Lawson Conjecture by Brendle, and the Willmore Conjecture by Marques-Neves. The solutions of these problems have introduced a wealth of new techniques into the field. This semester-long program will focus on the following main themes:
    (1) Einstein metrics and generalizations,
    (2) Complex differential geometry,
    (3) Spaces with curvature bounded from below,
    (4) Geometric flows,
    and particularly on the deep connections between these areas.

    Updated on Apr 21, 2015 03:40 PM PDT
  114. Seminar Research Mini-course

    Created on Sep 03, 2015 03:43 PM PDT
  115. Workshop Bay Area Differential Geometry Seminar (BADGS) Winter 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 May 06, 2017 01:18 AM PDT
  116. Seminar Research Mini-course

    Created on Sep 03, 2015 03:41 PM PDT
  117. Seminar Research Mini-course

    Created on Sep 03, 2015 03:38 PM PDT
  118. Seminar Math on YouTube

    Created on Oct 29, 2015 08:58 AM PDT
  119. Workshop Workshop on Combinatorial Games, in honor of Elwyn Berlekamp's 75th Birthday

    Organizers: David Eisenbud (MSRI - Mathematical Sciences Research Institute), LEAD Richard Guy (University of Calgary), Thane Plambeck (Counterwave, Inc.), Aaron Siegel (Twitter, Inc.)

    A two-day workshop with research-level talks on combinatorial game theory, one of the fields to which Elwyn Berlekamp has made enormous contributions.

    Updated on May 06, 2017 01:18 AM PDT
  120. Workshop Modern Math Workshop 2015

    Organizers: LEAD Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Helen Chamberlin (Ohio State University), Ricardo Cortez (Tulane University), Sujit Ghosh (NC State University), Dagan Karp (Harvey Mudd College), Anne Pfister (MSRI - Mathematical Sciences Research Institute), Christian Ratsch (University of California, Los Angeles; Institute of Pure and Applied Mathematics (IPAM)), Ivelisse M. Rubio (University of Puerto Rico), Mariel Vazquez (University of California, Davis), Talithia Williams (Harvey Mudd College)

    As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes are pleased to host their annual SACNAS pre-conference event, the 2015 Modern Math Workshop (MMW). The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhD’s in building their research networks.

    Updated on May 06, 2017 01:18 AM PDT
  121. Workshop New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems

    Organizers: Jonathan Mattingly (Duke University), LEAD Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Université Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)

    This workshop serves to bring into focus the fundamental aim of the jumbo program by both a)  showcasing the spectacular progress in recent years in the study of both nonlinear dispersive as well as stochastic partial differential equations and b) bringing to the fore the key challenges for the future in quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems.  

    During the two weeks long workshop, we intertwine talks on a wide array of topics by some of the key researchers in both communities and aim at highlighting the most salient ideas, proofs and questions which are important and fertile for `cross-pollination’ between PDE and SPDE. Topics include:  Global dynamics and singularity formation for geometric and physical nonlinear wave and dispersive models (critical and supercritical regimes); dynamics of infinite dimensional systems (critical phenomena, multi scale dynamics and metastability); symplectic structures of infinite dimensional dynamical systems; randomization and long time dynamics, invariant Gibbs and weighted Wiener measures; derivation of effective dynamics in quantum systems; weak turbulence phenomena; optimization and learning algorithms: distributed, stochastic and parallel.

    Updated on May 06, 2017 01:18 AM PDT
  122. Workshop Theory of Neural Computation

    Organizers: Dmitri Chklovskii (Simons Foundation), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Gary Marcus (New York University), LEAD Bruno Olshausen (University of California, Berkeley), Christos Papadimitriou (University of California, Berkeley), Terrence Sejnowski (Salk Institute for Biological Studies), Fritz Sommer (University of California, Berkeley)

    The theme of this workshop is on bringing theory into the study of neural networks---those in brains and those in machines.  We will soon have the capability to monitor activity and structure in the brain at unprecedented scales, but what will these data tell us?  It is unlikely that we will gain insight without some theoretical framework to guide our thinking of what to look for, and why.  Similarly, neural network models can now perform feats of language translation and pattern recognition far beyond what was possible a few years ago; but they have yet to shed new light on neurobiological mechanisms in part because there is only a limited theory of such computations.

    What are likely candidates for such theories? Do they already exist? And what is needed to more tightly integrate theoretical frameworks with empirical approaches?
     

    Updated on May 06, 2017 01:18 AM PDT
  123. Workshop Elementary Introduction to the Langlands Program, by Edward Frenkel

    Organizers: Edward Frenkel (University of California, Berkeley)

    One of the most fascinating and important developments in mathematics in the last 50 years is the "Langlands Program", a collection of ideas that provides a grand unification of many areas of mathematics. Frenkel's celebrated book "Love and Math", now translated into many languages, provides an extraordinarily accessible overview of the deep mathematics involved. The lectures will be a great opportunity to hear the story of these ideas from a great expositor, and participate in a discussion of them. Covering topics from the basic ideas of symmetries and Fermat's last theorem to the recent works connecting the Langlands Program to dualities in quantum physics, the lectures will be accessible to undergraduate students.

    The video content of this workshop can also be found at the Langlands Program Lectures page

    Updated on May 06, 2017 01:18 AM PDT
  124. Seminar Research Mini-course

    Created on Sep 03, 2015 03:33 PM PDT
  125. Seminar MSRI Fall 5-Minute Talks

    Updated on Sep 09, 2015 09:39 AM PDT
  126. Seminar MSRI Fall 5-Minute Talks

    Created on Sep 03, 2015 02:18 PM PDT
  127. 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 May 06, 2017 01:18 AM PDT
  128. 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 May 06, 2017 01:18 AM PDT
  129. Program New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems

    Organizers: Kay Kirkpatrick (University of Illinois at Urbana-Champaign), Yvan Martel (École Polytechnique), Jonathan Mattingly (Duke University), Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Université Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), LEAD Gigliola Staffilani (Massachusetts Institute of Technology), Daniel Tataru (University of California, Berkeley)

    The fundamental aim of this program is to bring together a core group of mathematicians from the general communities of nonlinear dispersive and stochastic partial differential equations whose research contains an underlying and unifying problem: quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems, and in various regimes. 

    In recent years there has been spectacular progress within both communities in the understanding of this common problem. The main efforts exercised, so far mostly in parallel, have generated an incredible number of deep results, that are not just beautiful mathematically, but are  also important to understand the complex natural phenomena around us.  Yet, many open questions and challenges remain ahead of us. Hosting the proposed program at MSRI would be the most effective venue to explore the specific questions at the core of the unifying theme and to have a focused and open exchange of ideas, connections and mathematical tools leading to potential new paradigms.  This special program will undoubtedly produce new and fundamental results in both areas, and possibly be the start of a new generation of researchers comfortable on both languages.

    Updated on Sep 15, 2015 05:25 PM PDT
  130. 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 May 06, 2017 01:18 AM PDT
  131. Summer Graduate School Gaps between Primes and Analytic Number Theory

    Organizers: Dimitris Koukoulopoulos (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), 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 May 06, 2017 01:18 AM PDT
  132. 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 May 06, 2017 01:18 AM PDT
  133. Summer Graduate School Mathematical Topics in Systems Biology

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

    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 May 06, 2017 01:18 AM PDT
  134. 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 May 06, 2017 01:18 AM PDT
  135. 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
  136. 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 May 06, 2017 01:18 AM PDT
  137. Summer Graduate School Geometric Group Theory

    Organizers: LEAD John Mackay (University of Bristol), Anne Thomas (University of Sydney), 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 May 06, 2017 01:18 AM PDT
  138. Summer Graduate School CRM-PIMS Summer School in Probability

    Organizers: LEAD Louigi Addario-Berry (McGill University), Louis-Pierre Arguin (University of Montreal), Alexander Fribergh (University of Montreal), 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 May 06, 2017 01:18 AM PDT
  139. 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), Francis Su (Harvey Mudd College), 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 Aug 17, 2017 11:43 AM PDT
  140. 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 06, 2017 01:18 AM PDT
  141. 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 May 06, 2017 01:18 AM PDT
  142. 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 May 06, 2017 01:18 AM PDT
  143. Seminar 3-Manifold Seminar

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

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

    Organizers: Marc Burger (ETH Zürich), LEAD David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Universite 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 06, 2017 01:18 AM PDT
  146. Seminar 3-Manifold Seminar

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

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

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

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

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

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

    Organizers: Sorin Popa (University of California, Los Angeles), 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 May 06, 2017 01:18 AM PDT
  153. Seminar Women in Science

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

    Updated on Feb 23, 2015 10:37 AM PST
  155. Seminar 3-Manifold Seminar

    Created on Jan 29, 2015 09:21 AM PST
  156. Seminar Open ended seminar

    Updated on Mar 06, 2015 09:53 AM PST
  157. 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 May 06, 2017 01:18 AM PDT
  158. Seminar 3-Manifold Seminar

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

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

    Organizers: Manfred Einsiedler (ETH Zürich), 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 May 06, 2017 01:18 AM PDT
  161. Workshop Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: Elon Lindenstrauss (The Hebrew University of Jerusalem), 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 May 06, 2017 01:18 AM PDT
  162. Workshop Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), Alessandra Iozzi (ETH Zürich)

    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 May 06, 2017 01:18 AM PDT
  163. Program Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: LEAD Dmitry Kleinbock (Brandeis University), Elon Lindenstrauss (The Hebrew University of Jerusalem), 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
  164. Workshop Connections for Women: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Virginie Charette (University of Sherbrooke), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), 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 May 06, 2017 01:18 AM PDT
  165. Program Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), William Goldman (University of Maryland), François Labourie (Universite 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
  166. Seminar GRT Pizza Seminar

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

    Created on Sep 03, 2014 12:39 PM PDT
  168. 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; École Normale Supérieure), 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-