June 25, 2018

Infinite Dimensional Lie Theory and Its Applications Program

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

Schedule of Talks
(updated January 30, 2001)
09:00-10:15 Registration and Light Breakfast

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

11:15-11:45 Coffee Break
11:45-12:45 P. Xu, Pennsylvania State University
Integrable spin Calogero-Moser systems
12:45-14:30 Lunch
14:30-15:30 V. Retakh, Rutgers University
Quadratic algebras related to factorizations of noncommutative polynomials
15:30-16:00 Tea time
16:00-17:00 D. Gurevich, Valenciennes University, France
Quantum trace in braided categories and projective modules on quantum orbits

Short Talks:
J. Harnad, CRM, Universite de Montreal
Multi-hamiltonian structures for R-matrix systems
D. Parashar, MPI, Leipzig
On the Algebro-Geometric Structure of Coloured Quantum Groups
E. Ragoucy-Aubezon, LAPTH (CNRS), France
Yangians and W algebras
L. Frappat, Laboratory of Theoretical Physics of Annecy-le-Vieux
Q-deformed W algebras in relation with elliptic quantum algebras

08:30-9:00 Light Breakfast
9:00-10:00 M. Semenov-Tian-Shansky, University of Bourgogne, Dijon
Quantum Toda Chains, Whittaker functions and representations of noncompact groups
10:15-11:15 B. Enriquez, ENS-CNRS, Paris
Quantization of Lie bialgebras and shuffle algebras
11:15-11:45 Coffee Break
11:45-12:45 I. Cherednik, University of North Carolina at Chapel Hill
Harish-Chandra transform and difference operators
12:45-14:30 Lunch
14:30-15:30 G. Felder, ETH Centrum, Zurich
From local to global quantization of Poisson manifolds
15:30-16:00 Tea time
16:00-17:00 I. Zakharevich, Ohio State University
Lattices, Locality of Poisson structures, and Poisson-Lie groups
20:00-22:00 Short Talks:
P. Etingof, MIT and Columbia University
The rational Cherednik algebra and its generalizations
E. Vasserot, U. Cergy Pontoise
The cohomology ring of the Hilbert scheme
K. Misra, North Carolina State University
Demazure Crystals
A. Stolin, University of Goteborg
Q-power functions over q-commuting variables and quantization of Lie bialgebras
08:30-9:00 Light Breakfast
9:00-10:00 A. Varchenko, University of North Carolina at Chapel Hill
The q-deformed KZB heat equation and SL(3,Z)
10:15-11:15 D. Bar Natan, Hebrew University, Jerusalem
Knot invariants, associators and a strange breed of planar algebras
11:15-11:45 Coffee Break
11:45-12:45 A. Rosenberg, Kansas State University
Noncommutative spaces
12:45-14:30 Lunch
14:30-15:30 V. Kac, Massachusetts Institute of Technology
Exceptional De Rham complexes
15:30-16:00 Tea Time
16:00-17:00 T. Miwa, Kyoto University
Physical Combinatorics
17:00-19:00 Cocktail Reception
8:30-9:00 Light Breakfast
9:00-10:00 D. Lebedev, Institute of Theoretical and Experimental Physics, Moscow
Quantum Toda Chains, Whittaker functions and representations of noncompact groups
10:30-8:00pm Day trip to Niagara Falls and Hillebrand winery
08:30-9:00 Light Breakfast
9:00-10:00 N. Reshetikhin, University of California, Berkeley
Quantization of degenerately integrable systems related to simple Lie algebras
10:15-11:15 C. Roger, University Lyon - I, France
About Poisson cohomology
11:15-11:45 Coffee Break
11:45-12:45 A. Kirillov Sr., University of Pennsylvania
Family algebras; quantum eigenvalues and multiplicities
12:45-14:30 Lunch
14:30-15:30 Y. Soibelman, Kansas State University
Quantum tori and abelian varieties
15:30-16:00 Tea Time
16:00-17:00 M. Kapranov, University of Toronto
Analogs of Hall polynomials for affine Weyl groups and S-duality generating functions
20:00-22:00 Short talks:
A. Sevastianov, ETH Zentrum, Zurich
Quantum reduction and Hecke algebras
G. Letzer, Virginia Tech
The quantum affine PRV determinant
T. Hodges, U. of Cincinnati
Symplectic foliation of triangular Poisson groups
A. Dzhumadildaev, Almaty
Rooted trees, free Vinberg algebras, and identities
08:30-9:00 Light Breakfast
09:00-10:00 V. Ovsienko, CPT-CNRS, Marseille
Multi-parameter deformations of the module of symbols of differential operators
10:15-11:15 A. Vaintrob, University of Oregon
Spin quantum cohomology
11:15-11:45 Coffee Break
11:45-12:45 A. Voronov, Michigan State University
String Topology Revisited