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

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

1. 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