
Symplectic Topology, Geometry, and
Gauge Theory Program
Workshop on Quasiclassical and Quantum Structures
January 9  14, 2001
This Workshop is part of the "Infinitedimensional Lie Theory
and its Applications" and "Symplectic Geometry, Topology,
and Gauge Theory" programs.
Pavel Etingof, Massachusetts Institute of Technology
Boris Khesin, University of Toronto
Topics include:
 Classical and quantum integrable systems
 Macdonald theory
 PoissonLie groups, quantum groups, dynamical quantum groups, and
quantization
 Infinitedimensional Lie algebras and structures, and their quantum
deformations
 qVirasoro, qWalgebras and their quasiclassical limits,
 affine and quantum affine algebras at the critical level
 Quantization of Poisson manifolds
 Hypergeometric and qhypergeometric functions, their generalizations,
KZ, qKZ, KZB, qKZB equations, Elliptic quantum groups

D. BarNatan, Hebrew University, Jerusalem

I. Cherednik, University of North Carolina at Chapel Hill
HarishChandra transform and difference operators

B. Enriquez, ENSCNRS, 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 Sduality
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, CPTCNRS, Marseille
Multiparameter 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. SemenovTianShansky, 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 qdeformed 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 PoissonLie groups

