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Programmatic Workshops

No Current Programmatic Workshops
  1. 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 Oct 24, 2014 08:50 AM PDT
  2. 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 Oct 22, 2014 01:33 PM PDT
  3. Connections for Women: Dynamics on Moduli Spaces of Geometric Structures

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

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

    This workshop is open to all mathematicians.

    Updated on Oct 20, 2014 12:07 PM PDT
  4. Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

    Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Universität Bonn), Alessandra Iozzi (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 Oct 15, 2014 05:45 PM PDT
  5. 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. This workshop is open to all mathematicians.

    Updated on Oct 20, 2014 12:05 PM PDT
  6. 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 Oct 13, 2014 11:40 AM PDT
  7. 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 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 Jan 21, 2014 08:15 PM PST
  8. 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 Oct 20, 2014 01:13 PM PDT
  9. 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
  10. 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
  11. 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
  12. 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

Past Programmatic Workshops

  1. 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 Sep 16, 2014 03:16 PM PDT
  2. Connections for Women: Geometric Representation Theory

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

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

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

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

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

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

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

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

    Updated on Aug 29, 2014 09:33 AM PDT
  4. Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms

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

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

    Updated on Aug 27, 2014 04:44 PM PDT
  5. Model Theory in Geometry and Arithmetic

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

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

    Updated on May 27, 2014 01:57 PM PDT
  6. Reimagining the Foundations of Algebraic Topology

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

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

    Updated on Apr 15, 2014 11:30 AM PDT
  7. Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry

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

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

    Updated on Feb 12, 2014 09:59 AM PST
  8. Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory

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

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

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

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

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

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

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

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

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

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

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

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

    Updated on Aug 26, 2014 11:45 AM PDT
  11. Infinite-Dimensional Geometry

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

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

    Updated on Dec 05, 2013 02:55 PM PST
  12. Initial Data and Evolution Problems in General Relativity

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

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

    Updated on Nov 26, 2013 09:16 AM PST
  13. Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation

    Organizers: Yann Brenier (École Polytechnique), Michael Cullen (Met Office), LEAD Wilfrid Gangbo (Georgia Institute of Technology), Allen Tannenbaum (SUNY)

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

    Updated on Sep 18, 2014 04:45 PM PDT
  14. Introductory Workshop: Mathematical Relativity

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

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

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

    Updated on Oct 23, 2013 10:04 AM PDT
  15. Connections for Women: Mathematical General Relativity

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

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

    Updated on Oct 23, 2013 10:03 AM PDT
  16. Introductory Workshop on Optimal Transport: Geometry and Dynamics

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

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

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

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

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

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

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

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

    Updated on Oct 02, 2013 08:49 AM PDT
  18. The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods

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

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

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

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

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

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

    Updated on May 14, 2013 12:12 PM PDT
  20. Representation Theory, Homological Algebra, and Free Resolutions

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

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

    Updated on Oct 23, 2014 12:15 PM PDT
  21. Introductory Workshop: Noncommutative Algebraic Geometry and Representation Theory

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

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

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

    Updated on Oct 23, 2014 09:03 PM PDT
  22. Connections for Women: Noncommutative Algebraic Geometry and Representation Theory

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

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

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

    Updated on Oct 18, 2014 11:31 AM PDT
  23. Combinatorial Commutative Algebra and Applications

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

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

    Updated on Oct 23, 2014 12:15 PM PDT
  24. Cluster Algebras in Combinatorics, Algebra, and Geometry

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

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

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

    Updated on Oct 02, 2014 05:20 PM PDT
  25. Joint Introductory Workshop: Cluster Algebras and Commutative Algebra

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

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

    Updated on Oct 23, 2014 12:15 PM PDT
  26. Connections For Women: Joint Workshop on Commutative Algebra and Cluster Algebras

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

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

    Updated on Sep 22, 2014 02:13 PM PDT
  27. Random Walks and Random Media

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

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

    Updated on Jun 07, 2013 03:09 PM PDT
  28. Statistical Mechanics and Conformal Invariance

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

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

    Updated on Jun 07, 2013 03:08 PM PDT
  29. Percolation and Interacting Systems

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

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

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

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

    Updated on Jun 07, 2013 03:08 PM PDT
  30. Introductory Workshop: Lattice Models and Combinatorics

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

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

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

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

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

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

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

    Updated on Jun 07, 2013 02:00 PM PDT
  32. Quantitative Geometry in Computer Science

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

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

    This workshops aims to present recent progress in these directions.

    Updated on Jun 07, 2013 02:00 PM PDT
  33. Embedding Problems in Banach Spaces and Group Theory

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

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

    Updated on Jun 07, 2013 03:06 PM PDT
  34. Probabilistic Reasoning in Quantitative Geometry

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

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

    Updated on Jun 07, 2013 03:06 PM PDT
  35. Introductory Workshop on Quantitative Geometry

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

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

    Updated on Oct 24, 2014 08:50 AM PDT
  36. Connections for Women in Quantitative Geometry

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

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

    Updated on Sep 16, 2014 02:50 PM PDT
  37. Arithmetic Statistics

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

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

    Updated on Jun 07, 2013 03:06 PM PDT
  38. Free Boundary Problems, Theory and Applications

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

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

    Updated on Jun 07, 2013 03:05 PM PDT
  39. Introductory Workshop: Arithmetic Statistics

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

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


     

    Updated on Jun 07, 2013 03:00 PM PDT
  40. Connections for Women: Arithmetic Statistics

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

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

     

    Updated on Jun 07, 2013 01:27 PM PDT
  41. Introductory Workshop: Free Boundary Problems, Theory and Applications

    Organizers: Tatiana Toro* (University of Washington)

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

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

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

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

     

    Updated on Jun 07, 2013 01:59 PM PDT
  43. Random Matrix Theory and its Applications II

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

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

     

    Updated on Oct 06, 2014 12:49 PM PDT
  44. Inverse Problems: Theory and Applications

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

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





     

    Updated on Jun 07, 2013 02:59 PM PDT
  45. Connections for Women: An Introduction to Random Matrices

    Organizers: Estelle Basor (American Institute of Mathematics, Palo Alto), Alice Guionnet* (Ecole Normale Supérieure de Lyon), and Irina Nenciu (University of Illinois at Chicago)

    Topics covered in this workshop will include fundamental problems in random matrices, including universality questions and connections to physics, free probability, Riemann Hilbert problems and applications to other areas of mathematics such as number theory and numerical analysis.

    Updated on Oct 06, 2014 12:57 PM PDT
  46. Random Matrix Theory and Its Applications I

    Organizers: Jinho Baik (University of Michigan), Percy Deift (Courant Institute of Mathematical Sciences), Alexander Its* (Indiana University-Purdue University Indianapolis), Kenneth McLaughlin (University of Arizona), and Craig A. Tracy (University of California, Davis)

    In the spring of 1999, MSRI hosted a very successful and influential one-semester program on RMT and its applications. At the workshops during the semester, there was a sense of excitement as brand new and very recent results were reported. The goal of the 2010 Program is to showcase the many remarkable developments that have taken place since 1999 and to spur further developments in RMT and Related areas of interacting particle systems (IPS) and integrable systems (IS) as well as to highlight various applications of RMT.

    Updated on Oct 06, 2014 12:57 PM PDT
  47. Introductory Workshop on Inverse Problems and Applications

    Organizers: Margaret Cheney (Rensselaer Polytechnic Institute), Gunther Uhlmann* (University of Washington), Michael Vogelius( Rutgers), and Maciej Zworski (University of California, Berkeley)

    Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.
     

    Updated on Oct 06, 2014 12:58 PM PDT
  48. Connections for Women: Inverse Problems and Applications

    Organizers: Tanya Christiansen (University of Missouri, Columbia), Alison Malcolm (Massachusetts Institute of Technology), Shari Moskow (Drexel University), Chrysoula Tsogka (University of Crete), and Gunther Uhlmann* (University of Washington)

    Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.

    Updated on Oct 06, 2014 12:59 PM PDT
  49. Symplectic Geometry, Noncommutative Geometry and Physics

    Organizers: Robbert Dijkgraaf (Amsterdam), Tohru Eguchi (Kyoto), Yakov Eliashberg* (Stanford), Kenji Fukaya (Kyoto), Yoshiaki Maeda* (Yokohama), Dusa McDuff (Stony Brook), Paul Seidel (Cambridge, MA), Alan Weinstein* (Berkeley).



    Sponsor: Hayashibara Foundation




    Symplectic geometry originated as a mathematical language for Hamiltonian mechanics, but during the last 3 decades it witnessed both, spectacuar development of the mathematical theory and discovery of new connections and applications to physics. Meanwhile, non-commutative geometry naturally entered into this picture.

    Updated on Jun 07, 2013 02:53 PM PDT
  50. Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology

    Organizers: Yakov Eliashberg (Stanford University), Alvaro Pelayo* (University of California, Berkeley), Steve Zelditch (Northwestern University), Maciej Zworski (University of California, Berkeley)

    The first week of May 2010 coincides with the first year anniversary of Alan Weinstein's retirement from UC Berkeley; Weinstein has been one of the most influential figures in symplectic geometry, Poisson geometry and analysis in the past forty years. Weinstein's fundamental work inspired many others and led to the development of central concepts in symplectic and Poisson geometry, as well as to the establishment of symplectic geometry as an independent discipline within mathematics. This conference will be a forum to celebrate Weinstein's fundamental contributions to geometry and mathematics at large.

    Updated on Oct 06, 2014 01:01 PM PDT
  51. Symplectic and Contact Topology and Dynamics: Puzzles and Horizons

    Organizers: Paul Biran (Tel Aviv University), John Etnyre (Georgia Institute of Technology), Helmut Hofer (Courant Institute), Dusa McDuff *(Barnard College), Leonid Polterovich (Tel Aviv University),

    This workshop will focus on recent progress in central problems in
    symplectic and contact topology and Hamiltonian dynamics such as
    rigidity of Lagrangian submanifolds, algebra/topology/geometry of
    symplectomorphism and contactomorphism groups, exotic symplectic and
    contact structures, and existence of
    periodic orbits of Hamiltonian systems and Reeb flows.
    It will explain applications of the "large machines"
    such as Floer Theory, Symplectic Field Theory and Fukaya categories,
    showing where these machines do not yet provide satisfactory
    answers. Special attention will also be paid to articulating
    new problems and
    directions, as well as to explaining
    interactions between symplectic and contact
    topology and other fields.

    Updated on Oct 06, 2014 01:03 PM PDT
  52. Research Workshop: Homology Theories of Knots and Links

    Organizers: Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).

    Link homology is a young and rapidly-developing area drawing on many branches of mathematics. The subject has its roots in representation theory, and it has benefitted from its interactions with low-dimensional, classical, and quantum topology and symplectic geometry. Indeed, several recent developments have underscored the close parallels between link homology and Floer homological invariants for low-dimensional manifolds.

    Updated on Oct 06, 2014 01:03 PM PDT
  53. Introductory Workshop: Homology Theories of Knots and Links

    Organizers: Aaron Lauda (Columbia University), Robert Lipshitz (Columbia University), Dylan Thurston* (Columbia University).

    This workshop will introduce the main branches in the study of knot homology theories. It will consist of three mini-courses, one on knot Floer homology and related topics; one on the various approaches to
    Khovanov and Khovanov-Rozansky homology; and one on categorification on quantum groups. (There will also be several stand-alone lectures.) The techniques involved in the three branches are quite different; in
    particular, Heegaard Floer theory is analytic in nature, with its origin in gauge theory and symplectic geometry, while both Khovanov homology and categorification are more algebraic in nature, with origins in representation theory and algebraic geometry. The workshop will provide an opportunity for graduate students and researchers
    outside the field to gain entry, as well as for researchers working in one part of the field to learn about techniques and developments in other parts.

    Updated on Oct 06, 2014 01:05 PM PDT
  54. Connections for Women: Homology Theories of Knots and Links

    Organizers: Elisenda Grigsby* (Columbia), Olga Plamenevskaya (SUNY/Stonybrook), and Katrin Wehrheim (MIT)

    This 2-day workshop will serve as a prelude to the introductory workshop for the semester-long program on homology theories of knots and links. Survey talks in the mornings will position the work in Khovanov and Heegaard Floer homology in a broader context, focusing on:

    1) applications to classical questions in low-dimensional topology, and
    2) connections to contact and symplectic topology.

    Research talks in the afternoons will highlight the range of current activity in the field. We plan a format of no more than four talks each day to allow ample time for presentation opportunities for younger researchers and formal and informal discussions.

    Updated on Oct 06, 2014 01:06 PM PDT
  55. Tropical Structures in Geometry and Physics

    Organizers: Mark Gross ( University of California San Diego), Kentaro Hori (University of Toronto), Viatcheslav Kharlamov (Université de Strasbourg (Louis Pasteur), Richard Kenyon* (Brown University)

    One of the successes of tropical geometry is its applications to a number of different areas of recently developing mathematics. Among these are enumerative geometry, symplectic field theory, mirror symmetry, dimer models/random surfaces, amoebas and algas, instantons, cluster varieties, and tropical compactifications. While these fields appear quite diverse, we believe the common meeting ground of tropical geometry will provide a basis for fruitful interactions between participants.

    Updated on Jun 07, 2013 01:26 PM PDT
  56. Algebraic Structures in the Theory of Holomorphic Curves

    Organizers: Mohammed Abouzaid* ( Clay Mathematics Institute), Yakov Eliashberg (Stanford University), Kenji Fukaya (Kyoto University), Eleny Ionel (Stanford University), Lenny Ng (Duke University), Paul Seidel (MIT).

    The theory of holomorphic curves in symplectic manifolds leads
    to rich algebraic structures. The study of these structures is
    increasingly important both for understanding the theory itself, and
    for actual computations and applications. The aim of the workshop
    is to survey ongoing developments in the area. Some of the topics
    of interest are: cohomological field theories; relative and tropical
    Gromov-Witten invariants; Symplectic Field Theory (SFT) and connections
    with string topology; theories of holomorphic curves with Lagrangian
    boundary conditions, such as relative SFT, open Gromov-Witten theory,
    and Fukaya categories.

    Updated on Oct 06, 2014 01:10 PM PDT
  57. Tropical Geometry in Combinatorics and Algebra

    Organizers: Federico Ardila* (San Francisco State University), David Speyer (MIT), Jenia Tevelev (U Mass Amherst), Lauren Williams (Harvard)

    This workshop will concentrate on tropical methods in Combinatorics
    and Algebra. Some of the topics we expect to explore are
    tropical ideas and methods in combinatorial linear algebra and in
    combinatorial representation theory, as well as computational issues and applications of tropical methods in algebraic statistics.

    Updated on Oct 06, 2014 01:26 PM PDT
  58. Introductory Workshop: Tropical Geometry

    Organizers: Eva Maria Feichtner (U Bremen), Ilia Itenberg* (U Strasbourg), Grigory Mikhalkin (U Genève), Bernd Sturmfels (UC Berkeley)

    This workshop is to lay the foundations for the upcoming program. Mini-courses comprising lectures and exercise/discussion sessions will cover the foundational aspects of tropical geometry as well as its connections with adjacent areas: symplectic geometry, several complex variables, algebraic geometry (in particular enumerative and computational aspects) and geometric combinatorics. The mini-courses will be augmented by research talks on current tropical develpoments to open the scene and set up new goals in the beginning semester.

     

    Updated on Jun 07, 2013 01:56 PM PDT
  59. Connections for Women: Tropical Geometry

    Organizers: Alicia Dickenstein* (U Buenos Aires), Eva Maria Feichtner* (U Bremen)

    The aim of this workshop is to introduce advanced graduate students and postdocs to tropical geometry. Various aspects of this multi-faceted field will be highlighted in two short-courses comprising lectures and exercise/discussion sessions as well as in research talks. The workshop will thus provide the participants with
    an excellent introduction to the forthcoming events of the program. The scientific part will be complemented by a round table discussion on career issues of female mathematicians.

    Updated on Jun 07, 2013 02:51 PM PDT
  60. Introductory Workshop: Symplectic and Contact Geometry and Topology

    Organizers: John Etnyre* (Georgia Institute of Technology), Dusa McDuff (Barnard College, Columbia University), and Lisa Traynor (Bryn Mawr).

    This workshop aims both to introduce
    people to a broad swath of the field
    and to frame its most important problems.
    Each day will be organized around a
    basic topic, such as how to count holomorphic
    curves with boundary on a Lagrangian submanifold (which
    leads to various versions of Floer theory)
    or how to understand the general structure of
    symplectic and contact manifolds.
    There will also be an introduction to the
    analytic and algebraic aspects of symplectic
    field theory, and a discussion of some applications.

    Updated on Jun 07, 2013 02:51 PM PDT
  61. Connections for Women: Symplectic and Contact Geometry and Topology

    Organizers: Eleny Ionel (Stanford University), Dusa McDuff* (Barnard College, Columbia University).

    This will form a bridge between
    the graduate student workshop which will just be ending and
    the Introductory workshop. After some
    elementary talks describing some of the main questions
    in the field, there will be an extended discussion session
    intended to explain basic concepts to those unfamiliar with the area.
    There will also be an opportunity for young researchers in the field
    to present their work, and an evening social event.

    Updated on Jun 07, 2013 11:05 AM PDT
  62. Algebraic Geometry: Last Week of Program

    Organizers: William Fulton (University of Michigan), Joe Harris (Harvard University), Brendan Hassett (Rice University), János Kollár (Princeton University), Sándor Kovács* (University of Washington), Robert Lazarsfeld (University of Michigan), and Ravi Vakil (Stanford University)

    Updated on Oct 06, 2014 03:02 PM PDT
  63. Combinatorial, Enumerative and Toric Geometry

    Organizers: Michel Brion (U. de Genoble), Anders Buch (Rutgers U.), Linda Chen (Ohio State U.), William Fulton (U. Michigan), Sándor Kovács (U. Washington), Frank Sottile (Texas A&M), Harry Tamvakis (U. Maryland), and Burt Totaro (Cambridge U.)

    This workshop will present the state of the art in combinatorial, enumerative, and toric algebraic geometry. It
    will highlight this part of modern algebraic geometry within the context of the broader parent program at MSRI, and convey its scope to young researchers.

    Updated on Oct 06, 2014 03:08 PM PDT
  64. Modern Moduli Theory

    Organizers: I. Coskun (U. Illinois - Chicago), S. Katz (U. Illinois), A. Marian (Institute for Advanced Study), R. Pandharipande (Princeton U.), R. Thomas (Imperial College), H.H. Tseng (U. Wisconsin), R. Vakil (Stanford U.)

    This workshop will convene experts specializing on the minimal model program, derived categories and moduli
    spaces in an informal environment to facilitate the cross-fertilization of ideas across these different fields of algebraic geometry.
     

    Updated on Oct 06, 2014 03:11 PM PDT
  65. Classical Algebraic Geometry Today

    Organizers: Lucia Caporaso (U. Rome III), Brendan Hassett (Rice U.), James McKernan (MIT), Mircea Mustata (U. Michigan), Mihnea Popa (U. Illinois - Chicago)

    The main theme of the workshop will be to explore modern approaches to
    problems originating in Classical Algebraic Geometry, and at the same time
    offer an introduction to various subfields to the younger participants in
    the semester-long program.

    Updated on Oct 06, 2014 03:11 PM PDT
  66. Connections for Women: Algebraic Geometry and Related Fields

    Organizers: Angela Gibney (U. Pennsylvania), Brendan Hassett (Rice U.), Sándor Kovács (U. Washington), Diane Maclagan (Warwick U.) Jessica Sidman (Mt. Holyoke), and Ravi Vakil (Stanford U.)

    This workshop is part of the semester program on Algebraic Geometry, and
    additional funding will be available for participants to attend the associated
    "Introductory workshop: Classical algebraic geometry," January 26-30, 2009.

     

    Updated on Oct 06, 2014 03:12 PM PDT
  67. Discrete Rigidity Phenomena in Additive Combinatorics

    Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)

    Updated on Oct 06, 2014 03:14 PM PDT
  68. Topology of Stratified Spaces

    Organizers: Greg Friedman, Eugénie Hunsicker, Anatoly Libgober, and Laurentiu Maxim

    This workshop will bring together researchers interested in the topology of stratified spaces. It will focus roughly on four topics: topology of complex varieties, signature theory on singular spaces, L2 and intersection cohomology, and mixed Hodge theory and singularities. Aside from talks on current research, there will be a series of introductory lectures on these themes. These talks will be aimed at strengthening the connections among the various topology research groups and the connections between topology researchers and researchers at the program on Analysis of Singular Spaces, running concurrently.

    Updated on Jun 07, 2013 02:47 PM PDT
  69. Introductory Workshop on Analysis on Singular Spaces

    Organizers: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch

    This four-day program will be an introduction to the main themes of the Analysis on Singular Spaces program, geared toward graduate students and postdocs. It will consist of several minicourses, covering topics in
    spectral and scattering theory, index theory, and $L²$-cohomology, as well as developing the technical tools needed as background.

    Updated on Oct 06, 2014 03:18 PM PDT
  70. Broader Connections: Analysis on Singular Spaces

    Organizers: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy, and Jared Wunsch

    This two-day program will consist of a "crash course" in topics in PDE relevant to the Analysis on Singular Spaces main program, and in particular will attempt to get graduate students, postdocs, and even advanced
    undergraduates ready for the Introductory Workshop the following week. The focus will be topics in analysis on smooth manifolds whose generalizations to singular spaces will be the focus of the main program.

    Updated on Oct 06, 2014 03:18 PM PDT
  71. Introduction to Ergodic Theory and Additive Combinatorics

    Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), and Mate Wierdl (University of Memphis)

    Updated on Jun 07, 2013 11:02 AM PDT
  72. Broader Connections: Ergodic Theory and Additive Combinatorics

    Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)

    Updated on Jun 07, 2013 02:35 PM PDT
  73. Lie Theory

    Organizers: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan

    Updated on Jun 07, 2013 02:34 PM PDT
  74. Introductory Workshop on Combinatorial Representation Theory

    Organizers: Persi Diaconis, Arun Ram, Anne Schilling (Chair)

    The goal of the Introductory Workshop is to survey current and recent developments in the field. The talks will focus on tableaux, reflection groups, finite groups, geometry and mathematical physics in the realm of Combinatorial Representation Theory.

    Updated on Oct 06, 2014 03:40 PM PDT
  75. Mathematical Issues in Stochastic Approaches for Multiscale Modeling

    Organizers: Roberto Camassa (UNC - Chapel Hill), Jinqiao Duan (Illinois Institute of Technology - Chicago), Peter E. Kloeden (U of Frankfurt, Germany), Jonathan Mattingly (Duke U), Richard McLaughlin (UNC - Chapel Hill)

    Complex physical, biological, geophysical and environmental systems display variability over a broad range of spatial and temporal scales. To make progress in understanding and modelling such systems, a combination of computational, analytical, and experimental techniques is required. There are issues that emerge prominently in each of these categories and in all these stochastic methods are playing a fundamental role.

    Updated on Jun 07, 2013 11:02 AM PDT
  76. Geometric Evolution Equations

    Organizers: Bennett Chow, Gerhard Huisken, Chuu-Lian Terng, and Gang Tian

    Updated on Jun 07, 2013 02:05 PM PDT
  77. Connections for Women: Dynamical Systems

    Organizers: Debra Lewis (UC Santa Cruz), Mary Pugh (U Toronto), and Mary Lou Zeeman (Bowdoin College)

    Updated on Jun 07, 2013 10:59 AM PDT
  78. New Developments in the Geometry and Physics of Gromov-Witten Theory

    Organizers: Mina Aganagic, A. Klemm (Wisconsin), Jun Li (Stanford), R. Pandharipande (Princeton), Yongbin Ruan (Wisconsin)

    Mirror duality has demonstrated the striking effectiveness of concepts of modern physics in enuerative geometry. It is of the same type as the simple radius inversion duality seen in string compactifications on S1. This type was discovered early because it shows up in every term in the string genus expansion and can be studied in 2d conformal field theory.

    Updated on Jun 07, 2013 02:43 PM PDT
  79. Analytic Methods for Diophantine Equations

    Organizers: Michael Bennett, Chantal David, William Duke, Andrew Granville (co-chair),Yuri Tschinkel (co-chair)

    This workshop is jointly sponsored by MSRI and CRM and will be held at the Banff International Research Station in Banff, Canada.

    Updated on Jun 07, 2013 11:43 AM PDT
  80. Cohomological Approaches to Rational Points

    Organizers: Fedor Bogomolov, Antoine Chambert-Loir, Jean-Louis Colliot-Thélène (chair), A. Johan de Jong, Raman Parimala

    Updated on Jun 07, 2013 02:42 PM PDT
  81. Stringy Topology in Morelia

    Organizers: R. Cohen (Stanford), J. Morava (Johns Hopkins), A. Adem (UBC/UW--Madison), Y. Ruan (UW-Madison); Local Organizers: M. Aguilar (UNAM-Mexico City), D. Juan-Pineda (UNAM-Morelia), J.Seade (UNAM-Cuernavaca)

    The purpose of this program is to introduce new topological concepts in physics to young research mathematicians from both South and North America. The lectures given during the first week will provide the necessary background; these will be supplemented, primarily during the second week, with lectures by leading researchers on recent progress. That week serves as the Opening Workshop for the MSRI program, Spring, 2006, in New Topological Structures in Physics.

    Updated on Jun 07, 2013 02:42 PM PDT
  82. Geometric and Analytical Aspects of Nonlinear Dispersive Equations

    Organizers: Nicolas Burq, Hans Lindblad, Igor Rodnianski, Christopher Sogge, Sijue Wu

    NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue. On site registration for the workshop will be at the International House, starting at 8:30 AM Monday and ending at 3:30 PM Monday.

    Updated on Jun 07, 2013 02:41 PM PDT
  83. Optimal Mass Transport and its Applications

    Organizers: L. Craig Evans (U.C. Berkeley), Wilfrid Gangbo (Georgia Tech), Cristian Gutierrez (Temple University)

    NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue, except for the Tuesday session, which will be held at the Lawrence Berkeley National Laboratory. On site registration for the workshop will start at 8:30 AM Monday and end at 3:30 PM Monday.

    Updated on Jun 07, 2013 02:40 PM PDT
  84. Models of Real-World Random Networks

    Organizers: David Aldous, Claire Kenyon, Jon Kleinberg, Michael Mitzenmacher, Christos Papadimitriou, Prabhakar Raghavan

    This workshop seeks to bring together (a) mathematicians studying the math
    properties of particular models, and (b) experts in various network
    fields who can survey the successes and challenges of modeling within
    their field.

    Updated on Jun 07, 2013 01:29 PM PDT
  85. Visual Recognition

    Organizers: Don Geman, Jitendra Malik, Pietro Perona, Cordelia Schmid

    Updated on Jun 07, 2013 01:24 PM PDT
  86. PREP Workshop: The Mathematics of Images

    Organizers: Kathryn Leonard , David Mumford

    This workshop is aimed at faculty who wish to learn about this exciting field and would like to enrich a variety of undergraduate courses with new examples and applications. The workshop is being held in collaboration with the Mathematical Association of America as part of the MAA's Professional Enhancement Program (PREP). See the PREP website for information about registration and participant support.

    Updated on Jun 07, 2013 11:44 AM PDT
  87. Phase Transitions in Computation and Reconstruction

    Organizers: Dimitris Achlioptas, Elchanan Mossel, Yuval Peres

    The topics of this workshop include phase transitions in connection to
    random graphs, boolean functions, satisfiability problems, coding,
    reconstruction on trees and spinglasses.

    Special focus will be given to the study of the interplay
    between the replica method, local weak convergence and algorithmic aspects of
    reconstruction.

    Updated on Jun 07, 2013 02:39 PM PDT
  88. Markov Chains in Algorithms and Statistical Physics

    Organizers: Fabio Martinelli, Alistair Sinclair, Eric Vigoda

    Recent years have seen the rapid development of techniques for the analysis of MCMC algorithms, with applications in all the above areas. These techniques draw from a wide range of mathematical disciplines, including combinatorics, discrete probability, functional analysis, geometry and statistical physics, and there has been significant cross-fertilization between them. This workshop aims to bring together practitioners from all these domains with the aim of furthering this interplay of ideas.

    Updated on Jun 07, 2013 01:24 PM PDT
  89. Combinatorial Aspects of Hyperplane Arrangements

    Organizers: Eva Maria Feichtner, Philip Hanlon, Peter Orlik, Alexander Varchenko

    This workshop will be part of MSRI's Special Semester in Hyperplane Arrangements and Applications.

    Updated on Jun 07, 2013 02:29 PM PDT
  90. Topology of Arrangements and Applications

    Organizers: Daniel C. Cohen, Michael Falk (chair), Peter Orlik, Inna Scherbak, Alexandru Suciu, Hiroaki Terao, Sergey Yuzvinsky

    This workshop will focus on the following topics: Characteristic varieties and resonance varieties, homotopy types of arrangements, moduli of arrangements, Gauss-Manin connections, KZ and qKZ equations, elliptic hypergeometric functions, and hypergeometric functions associated with curves of arbitrary genus.

    Updated on Jun 07, 2013 02:28 PM PDT
  91. Geometric Analysis

    Organizers: Ben Chow, Peter Li, Richard Schoen (chair), and Richard Wentworth

    Updated on Jun 07, 2013 02:04 PM PDT
  92. Combinatorial and Discrete Geometry

    Organizers: Jesús A. De Loera, Jacob E. Goodman, János Pach and Günter M. Ziegler

    Updated on Jun 07, 2013 01:55 PM PDT
  93. Computational Commutative Algebra

    Organizers: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson

    Updated on Jun 07, 2013 02:25 PM PDT
  94. Quantum Information Processing

    Organizers: Steering Committee: Dorit Aharonov, Charles Bennett, Harry Buhrman, Isaac Chuang, Mike Mosca, Umesh Vazirani, and John Watrous

    Updated on Jun 07, 2013 01:23 PM PDT
  95. Models of Quantum Computing

    Organizers: David Di Vincenzo (Watson-IBM), and Peter Shor (AT&T), Chair

    Presented jointly with IPAM, and held in Los Angeles. See IPAM website for details.

    Updated on Jun 07, 2013 11:35 AM PDT
  96. Quantum Algorithms and Complexity

    Organizers: Richard Cleve, Peter Shor, and Umesh Vazirani

    To be held at the Banff Conference Centre in Banff (Alberta), Canada

    Updated on Jun 07, 2013 11:34 AM PDT
  97. Conformal Field Theory and Supersymmetry

    Organizers: G. Felder, D. Freed, E. Frenkel, V. Kac, T. Miwa, I. Penkov, V. Serganova, I. Singer and G. Zuckerman

    The first week will focus on Infinite-dimensional Algebras, Conformal Field Theory and Integrable Systems, and the second week would be devoted to Supersymmetry in Mathematics and Physics.

    Updated on Jun 07, 2013 02:38 PM PDT
  98. Non-Abelian Hodge Theory

    Organizers: S. Bradlow, O. Garcia-Prada, M. Kapranov, L. Katzarkov, M. Kontsevich, D. Orlov, T. Pantev, C. Simpson, and B. Toen

    Updated on Jun 07, 2013 02:21 PM PDT
  99. Geometric Aspects of the Langlands Program

    Organizers: E. Frenkel, V. Ginzburg, G. Laumon and K. Vilonen

    Discussion of the important developments in the geometric Langlands correspondence in the last few years

    Updated on Jun 07, 2013 01:43 PM PDT
  100. Intersection Theory on Stacks

    Organizers: K. Behrend, W. Fulton, L. Katzarkov, M. Kontsevich, Y. Manin, R. Pandharipande, T. Pantev, B. Toen, and A. Vistoli

    Updated on Jun 07, 2013 02:17 PM PDT
  101. Inverse problems and Applications

    Organizers: Joyce McLaughlin, Adrian Nachman, William Symes, Gunther Uhlmann (chair) and Michael Vogelius

    The purpose of the workshop will be to bring together people working on different aspects of inverse problems, to appraise the current status of development of the field, and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.

    Updated on Jun 07, 2013 02:17 PM PDT
  102. Pan-American Advanced Studies Institute (PASI) on Inverse Problems

    Organizers: Gunther Uhlmann (chair), David Haynor (Department of Radiology, University of Washington), Gary Margrave (Department of Geophysics, University of Calgary) and Ricardo Weder (Universidad Nacional Autonoma de Mexico)

    Updated on Jun 07, 2013 02:16 PM PDT
  103. Integral Geometry in Representation Theory

    Organizers: Leticia Barchini, Oklahoma State University, Roger Zierau, Oklahoma State University.

    This workshop will concentrate on several topics in representation theory and geometric analysis of homogeneous spaces for which techniques in integral geometry play a key role.

    Updated on Jun 07, 2013 11:19 AM PDT
  104. Geometric Scattering Theory and Elliptic Theory on Noncompact and Singular Spaces

    Organizers: Tanya Christiansen, Charles Epstein, Rafe Mazzeo, Richard Melrose

    This workshop will focus on problems of a scattering theoretic nature for geometric operators on manifolds with asymptotically regular
    geometries, and also on spectral theory and related questions of invertibility of such operators on singular spaces. The emphasis will be on the consideration of new problems and the dissemination of new techniques.

    Updated on Jun 07, 2013 02:02 PM PDT
  105. 29th Canadian Symposium on Operator Algebras

    Organizers: Man-Duen Choi, Edward G. Effros, George A. Elliott (co-chairman), Vaughan F. R. Jones, Henri Moscovici, Ian F. Putnam (co-chairman), Marc A. Rieffel and Dan-Virgil Voiculescu

    This meeting will be joint for the first two days with the MSRI workshop on Quantization and Non-commutative Geometry, and during the three-day period April 29 - May 1 will function as a closing conference for the 2000-01 MSRI program on Operator Algebras.

    Updated on Jun 07, 2013 01:54 PM PDT
  106. Quantization and Non-commutative geometry

    Organizers: A. Connes, J. Cuntz, N. Higson, G.G. Kasparov, N.P. Landsman, H. Moscovici (chair, Non-commutative Geometry), M.A. Rieffel (chair, Quantization), G. Skandalis, A. Weinstein, M. Wodzicki, S.L. Woronowicz

    These two topics have been scheduled in a joint workshop because the confluence of their research is likely to influence future advances in both fields.

    Updated on Jun 07, 2013 02:03 PM PDT
  107. Geometric Aspects of Spectral Theory

    Organizers: Jean-Michel Bismut, Tom Branson, S.-Y. Alice Chang and Kate Okikiolu

    This workshop will study the spectral theory of geometric operators, including: spectral invariants, applications in conformal geometry, classification of 4-manifolds, index theory and scattering theory.

    Updated on Jun 07, 2013 02:02 PM PDT
  108. Free Probability and Non-commutative Banach Spaces

    Organizers: P. Biane, D. Shlyakhtenko, R. Speicher, D. Voiculescu, E. Effros, E. Kirchberg, V. Paulsen, G. Pisier, Z-J. Ruan and A. Sinclair

    The Free Probability section of the workshop will cover several aspects of the subject: applications to von Neumann algebras and C*-algebras of free product type, connections with random matrix theory, free stochastic processes and free stochastic integration, combinatorial approach via noncrossing partitions, free entropy.

    The Non-commutative Banach Space section will cover the central concepts of the recently developed theory of operator spaces such as: exactness, local reflexivity and injectivity with applications to C* tensor products, operator algebras and operator modules. The non-commutative Lp-spaces, which play an important role in this theory, provide many points of contact with free probability.

    Updated on Jun 07, 2013 11:01 AM PDT
  109. Arithmetic Geometry

    Organizers: Noam Elkies, William McCallum, Jean-François Mestre, Bjorn Poonen (chair) and René Schoof

    This workshop will focus on the development of explicit and computational methods in arithmetic
    geometry, as well as the complexity analysis of existing algorithms.

    Updated on Jun 07, 2013 01:47 PM PDT
  110. Subfactors and Algebraic Aspects of Quantum Field Theory

    Organizers: D. Bisch, V.F.R. Jones, Y. Kawahigashi, S. Popa, R. Borcherds, S. Doplicher, R. Lawrence, P. Goddard and A. Wassermann

    These two areas have had a strong interaction in the last two decades, leading to exciting and closely related mathematics.

    Updated on Jun 07, 2013 01:47 PM PDT
  111. Number-theoretic cryptography workshop

    Organizers: Eric Bach, Dan Boneh, Cynthia Dwork (chair), Shafi Goldwasser, Kevin McCurley and Carl Pomerance

    This workshop will focus on number-theoretic aspects of cryptography, and will be cross-cultural, where the the cultures in question are "mathematics" and "computer science."

    Updated on Jun 07, 2013 10:49 AM PDT
  112. Simple C*-algebras and Non-commutative Dynamical Systems

    Organizers: W. Arveson,B. Blackadar,E. Effros,G. Elliott (chair), D. Handelman, E.Kirchberg, I. Putnam,M. Rordam,E. Stormer,M. Takesaki

    As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week NATO
    ADVANCED RESEARCH WORKSHOP on Simple C*-algebras and Non-commutative Dynamical
    Systems, September 25-29, 2000.

    Updated on Jun 07, 2013 01:47 PM PDT
  113. Clay Mathematics Institute Introductory Workshop in Algorithmic Number Theory

    Organizers: David Bailey, Joe Buhler (chair), Cynthia Dwork, Hendrik Lenstra Jr., Andrew Odlyzko, Bjorn Poonen, William Velez and Noriko Yui

    This workshop will have lecture series covering the basic areas of algorithmic number theory,
    aimed at graduate students and mathematicians without extensive experience in the field.

    Updated on Jun 07, 2013 12:00 PM PDT
  114. Combinatorial Algebra

    Organizers: G. Benkart (Univ.of Wisconsin), A. Shalev (Hebrew Univ.), E. Zelmanov (Yale Univ.)

    Updated on Jun 07, 2013 01:54 PM PDT
  115. Galois Actions and Geometry

    Organizers: Pierre Debes, Hiroaki Nakamura, Akio Tamagawa

    Updated on Jun 07, 2013 12:07 PM PDT
  116. Constructive Galois Theory

    Organizers: Moshe Jarden (Tel Aviv), Gunter Malle (Kassel), Helmut Voelklein (U. of Florida)

    Updated on Jun 07, 2013 12:06 PM PDT
  117. Parallel Symbolic Computing Workshop

    Organizers: David H Bailey, Daniel R Grayson, Alyson Reeves and Nobuki Takayama

    Updated on Jun 07, 2013 12:16 PM PDT
  118. Solving Systems of Equations

    Organizers: Jean-Pierre Dedieu, Marie-Francoise Roy, Bernd Sturmfels, and Mike Shub

    Updated on Jun 07, 2013 01:54 PM PDT
  119. Harmonic Analysis and PDE

    Organizers: C. Kenig, F. Ricci, E. Stein

    Updated on Jun 07, 2013 01:21 PM PDT
  120. Geometric Combinatorics

    Organizers: Margaret Bayer, Louis Billera (Chair), Paul Edelman and Gunter M. Ziegler

    Updated on Jun 07, 2013 11:31 AM PDT
  121. Four Dimensional Manifolds

    Organizers: Robion Kirby (UC Berkeley), Peter Kronheimer (Harvard), Dusa McDuff (SUNY at Stony Brook), Ronald Stern (Chair, UC Irvine), and Gang Tian (MIT)

    Updated on Jun 07, 2013 01:46 PM PDT
  122. Extremal Combinatorics

    Organizers: Anders Bjorner (Chair), Zoltan Furedi, and Jeffry Kahn

    Updated on Jun 07, 2013 11:31 AM PDT
  123. Enumeration and Partially Ordered Sets

    Organizers: Lynne Butler, Ira Gessel, Rodica Simion (chair), and Michelle Wachs

    Updated on Jun 07, 2013 11:32 AM PDT
  124. Knots and 3-manifolds

    Organizers: Andrew Casson (Chair), Allen Hatcher, John Luecke, Walter Neumann, and Abigail Thompson

    Updated on Jun 07, 2013 10:48 AM PDT