THEMATIC PROGRAMS
Please note that this is a page for a program or event far in the past. It contains archival information only, as things were at the time of the event.
None of this information is current.

Symplectic Topology, Geometry, and Gauge Theory Program

Workshop on Quasiclassical and Quantum Structures
January 9 - 14, 2001

Invited Speakers Accommodation

Schedule of Talks

 Symplectic Theory Home

This Workshop is part of the "Infinite-dimensional Lie Theory and its Applications" and "Symplectic Geometry, Topology, and Gauge Theory" programs.

Organizing Committee

Pavel Etingof, Massachusetts Institute of Technology
Boris Khesin, University of Toronto

Overview

Topics include:
  • Classical and quantum integrable systems
  • Macdonald theory
  • Poisson-Lie groups, quantum groups, dynamical quantum groups, and quantization
  • Infinite-dimensional Lie algebras and structures, and their quantum deformations
  • q-Virasoro, q-W-algebras and their quasiclassical limits,
  • affine and quantum affine algebras at the critical level
  • Quantization of Poisson manifolds
  • Hypergeometric and q-hypergeometric functions, their generalizations, KZ, qKZ, KZB, qKZB equations, Elliptic quantum groups

Invited Speakers

  • D. Bar-Natan, Hebrew University, Jerusalem

  • I. Cherednik, University of North Carolina at Chapel Hill
    Harish-Chandra transform and difference operators

  • B. Enriquez, ENS-CNRS, Paris
    Quantization of Lie bialgebras and shuffle algebras

  • G. Felder, ETH Centrum, Zurich
    From local to global quantization of Poisson manifolds

  • D. Gurevich, Valenciennes University
    Quantum trace in braided categories and projective modules on quantum orbits

  • M. Jimbo, University of Tokyo

  • V. Kac, Massachusetts Institute of Technology
    Exceptional De Rham complexes

  • M. Kapranov, University of Toronto
    Analogs of Hall polynomials for affine Weyl groups and S-duality generating functions

  • A. Kirillov Sr., University of Pennsylvania
    Family algebras; quantum eigenvalues and multiplicities

  • D. Lebedev, Institute of Theoretical and Experimental Physics
    Quantum Toda Chains, Whittaker functions and representations of noncompact groups

  • E. Meinrenken, University of Toronto
    Hamiltonian Poisson actions and the hyperbolic Duflo map

  • T. Miwa, Kyoto University

  • M. Noumi, Kobe University

  • V. Ovsienko, CPT-CNRS, Marseille
    Multi-parameter deformations of the module of symbols of differential operators

  • N. Reshetikhin, University of California, Berkeley

  • C. Roger, University Lyon - I, France
    Some recent results in Poisson cohomology and generalizations

  • A. Rosenberg, Kansas State University
    Noncommutative spaces

  • M. Semenov-Tian-Shansky, University of Bourgogne, Dijon
    Quantum Toda Chains, Whittaker functions and representations of noncompact groups

  • Y. Soibelman, Kansas State University
    Quantum tori and abelian varieties

  • A. Vaintrob, University of Oregon
    Spin quantum cohomology

  • A. Varchenko, University of North Carolina at Chapel Hill
    The q-deformed KZB heat equation and SL(3,Z)

  • L. Vinet, McGill University

  • A. Voronov, Michigan State University
    String Topology Revisite

  • P. Xu, Pennsylvania State University

  • I. Zakharevich, Ohio State University
    Lattices, Locality of Poisson structures, and Poisson-Lie groups