Logo

Mathematical Sciences Research Institute

Home > Scientific > Workshops > Programmatic Workshops > Upcoming

Upcoming Programmatic Workshops

  1. Introductory Workshop: Enumerative Geometry Beyond Numbers

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

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

    Updated on Jul 30, 2017 11:34 PM PDT
  2. Connections for Women: Group Representation Theory and Applications

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

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

    This workshop is open to all mathematicians.

    Updated on Aug 08, 2017 01:13 PM PDT
  3. Introductory Workshop: Group Representation Theory and Applications

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

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

    Updated on Jul 30, 2017 11:34 PM PDT
  4. Structures in Enumerative Geometry

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

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

    Updated on Nov 08, 2017 09:17 AM PST
  5. Representations of Finite and Algebraic Groups

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

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

    Updated on Nov 16, 2017 09:43 AM PST
  6. Connections for Women: Hamiltonian Systems, from topology to applications through analysis

    Organizers: Marie-Claude Arnaud (Université d'Avignon), LEAD Basak Gurel (University of Central Florida), Tere Seara (Universitat Politècnica de Catalunya)
    330px-std-map-0.971635
    Representing the orbits of the standard map for K = 1.2

    This workshop will feature lectures on a variety of topics in Hamiltonian dynamics given by leading researchers in the area. The talks will focus on recent developments in subjects closely related to the program such as Arnold diffusion, celestial mechanics, Hamilton-Jacobi equations, KAM methods, Aubry-Mather theory and symplectic topological techniques, and on applications. The workshop is open to all mathematicians in areas related to the program.

    Updated on Nov 08, 2017 10:19 AM PST
  7. Introductory Workshop: Hamiltonian systems, from topology to applications through analysis

    Organizers: Marie-Claude Arnaud (Université d'Avignon), Wilfrid Gangbo (University of California, Los Angeles), LEAD Vadim Kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley)

    The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, Hamilton-Jacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics.

    The workshop will consist of approximately 18 lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.

    Updated on Sep 26, 2017 09:18 AM PDT
  8. Hamiltonian systems, from topology to applications through analysis I

    Organizers: Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego Del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas at Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
    Web-image
    Depiction of the standard nontwist map (courtesy of G.Miloshevich).

    This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis” and is a companion to the workshop next month (November 26-30).  Both workshops will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

    Updated on Nov 02, 2017 09:56 AM PDT
  9. Hamiltonian systems, from topology to applications through analysis II

    Organizers: Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego Del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), Philip Morrison (University of Texas at Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
    Web-image
    An invariant set inhibiting transport in a two degree-of-freedom Hamiltonian system (courtesy J. D. Szezech)

    This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis.”  It  will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

    Updated on Nov 02, 2017 09:58 AM PDT
  10. Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces

    Organizers: Julie Bergner (University of Virginia), LEAD Antonella Grassi (University of Pennsylvania), Bianca Viray (University of Washington), Kirsten Wickelgren (Georgia Institute of Technology)

    This workshop will be on different aspects of Algebraic Geometry relating Derived Algebraic Geometry and Birational Geometry. In particular the workshop will focus on connections to other branches of mathematics and open problems. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

    Updated on Jul 30, 2017 11:34 PM PDT
  11. Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces

    Organizers: Julie Bergner (University of Virginia), Bhargav Bhatt (University of Michigan), Christopher Hacon (University of Utah), LEAD Mircea Mustaţă (University of Michigan), Gabriele Vezzosi (Università di Firenze)

    The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of 7 expository mini-courses and 7 separate lectures, each given by top experts in the field. 

    The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.
     

    Updated on Aug 28, 2017 09:13 AM PDT
  12. Derived algebraic geometry and its applications

    Organizers: Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago), Bertrand Toen (Centre National de la Recherche Scientifique (CNRS))

    This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.    

    Updated on Jul 30, 2017 11:34 PM PDT
  13. Recent Progress in Moduli Theory

    Organizers: Lucia Caporaso (University of Rome, Roma 3), LEAD Sándor Kovács (University of Washington), Martin Olsson (University of California, Berkeley)
    Moduli_b

    This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines. 

    Updated on Nov 02, 2017 09:59 AM PDT