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Upcoming Scientific Events

  1. Workshop Connections for Women: Geometric Representation Theory

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

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

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

    Updated on Jul 21, 2014 09:55 AM PDT
  2. Workshop Introductory Workshop: Geometric Representation Theory

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

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

    Updated on Jun 09, 2014 09:38 AM PDT
  3. Seminar MSRI Evans Talk

    Updated on Aug 08, 2014 09:32 AM PDT
  4. Seminar Chancellor Lecture

    Created on Aug 21, 2014 12:41 PM PDT
  5. Seminar Chancellor Lecture

    Created on Aug 21, 2014 12:52 PM PDT
  6. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 09:43 AM PDT
  7. Seminar Chancellor Lecture

    Created on Aug 21, 2014 01:06 PM PDT
  8. Seminar Chancellor Lecture

    Created on Aug 21, 2014 01:07 PM PDT
  9. Seminar Chancellor Lecture

    Created on Aug 21, 2014 02:10 PM PDT
  10. Seminar Chancellor Lecture

    Created on Aug 21, 2014 02:25 PM PDT
  11. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 09:54 AM PDT
  12. Seminar Chancellor Lecture

    Created on Aug 21, 2014 02:37 PM PDT
  13. Seminar Chancellor Lecture

    Created on Aug 21, 2014 02:37 PM PDT
  14. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 10:01 AM PDT
  15. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 10:15 AM PDT
  16. Workshop Breaking the Neural Code

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

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

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

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

    This workshop is by invitation only.

    Updated on Jul 15, 2014 02:06 PM PDT
  17. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 10:40 AM PDT
  18. Workshop Categorical Structures in Harmonic Analysis

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

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

    Updated on Jun 09, 2014 09:38 AM PDT
  19. Seminar MSRI Evans Talk

    Created on Aug 08, 2014 10:49 AM PDT
  20. Workshop Automorphic forms, Shimura varieties, Galois representations and L-functions

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

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

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

    Updated on Jun 09, 2014 09:39 AM PDT
  21. Program Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), William Goldman (University of Maryland), François Labourie (Université Paris-Sud (Orsay)), 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 Jul 29, 2013 03:58 PM PDT
  22. Workshop Connections for Women: Dynamics on Moduli Spaces of Geometric Structures

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

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

    Updated on Jun 09, 2014 09:39 AM PDT
  23. Program Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: LEAD Dmitry Kleinbock (Brandeis University), Elon Lindenstrauss (Hebrew University), Hee Oh (Yale University), Jean-François Quint (University de Bordeaux 1), 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 Oct 11, 2013 02:07 PM PDT
  24. Workshop Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstaedt (Universität Bonn), Alessandra Iozzi (ETH Zurich)

    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 Jul 28, 2014 08:41 AM PDT
  25. Workshop Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: Elon Lindenstrauss (Hebrew University), 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.

    Updated on Jun 30, 2014 09:19 AM PDT
  26. Workshop Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics

    Organizers: Manfred Einsiedler (Eidgenössische TH Zürich-Hönggerberg), LEAD Jean-François Quint (University de Bordeaux 1), 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.

    Updated on Aug 15, 2014 04:13 PM PDT
  27. Workshop Dynamics on Moduli Spaces

    Organizers: Markus Burger (ETH Zurich), David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Université Paris-Sud (Orsay)), 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 Jan 21, 2014 08:15 PM PST
  28. 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 eld. 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 Jan 21, 2014 08:54 PM PST
  29. Summer Graduate School Seminaire de Mathematiques Superieures 2015: Geometric and Computational Spectral Theory

    Organizers: Alexandre Girouard (CRM - Centre de Recherches Mathématiques), Dmitry Jakobson (McGill University), Michael Levitin (University of Reading), Nilima Nigam (IMA - Institute for Mathematics and its Applications), Iosif Polterovich (CRM - Centre de Recherches Mathématiques), Frederic Rochon (University of Quebec)

    Updated on Apr 28, 2014 11:02 AM PDT
  30. 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 (Universite de 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 Dec 23, 2013 08:59 AM PST
  31. 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)

    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 Jan 03, 2014 04:22 PM PST
  32. 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.

    Updated on Mar 10, 2014 08:35 AM PDT
  33. 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)

    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 Aug 14, 2014 08:49 AM PDT
  34. Workshop Kähler Geometry, Einstein Metrics, and Generalizations

    Organizers: Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), Jeff Viaclovsky (University of Wisconsin)

    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 Aug 03, 2013 09:30 AM PDT
  35. 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 Jun 07, 2013 10:39 AM PDT
  36. Program Geometric Group Theory

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

    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 Oct 11, 2013 02:11 PM PDT