Representation of Loop Groups

November 12 - 16, 2001

IPAM Building
Room 1200

Morning Session

Nicolai Reshetikhin (University of California at Berkeley)

"Invariants of tangles with flat connections in the complement"

Naihuan Jing (North Carolina State University)

"McKay correspondence and spin characters"

Hans Wenzl (University of California at San Diego)

"Braid representations for Lie type E_N"

Afternoon Session

Yun Gao (York University)

"Extended affine Lie algebras: Classification, Representation, and Quantization"

David Ben-Zvi (University of Chicago)

"Geometry of the Sugawara Construction"

Leon Takhtajan (SUNY Stony Brook)

"Analytic torsion and Faddeev-Popov ghosts on Riemann surfaces"

Morning Session

Chongying Dong (University of California at Santa Cruz)

"Elliptic genus and vertex operator algebras"

Victor Ginzburg (University of Chicago)

"Symplectic reflection algebras and representation theory"

Rinat Kedem (University of Illinois at Urbana-Champaign)

"Fusion rules and Restricted Kostka Polynomials"

Afternoon Session

Akihiro Tsuchiya (Nagoya University)

"Comformal Field Theory defined by regular chiral vertex operator algebras"

Fedor Smirnov (CNRS, France)

"Duality in quantum integrable models."

Rinat Kashaev (Nokia Research Center)

"Matrix integral combinatorics in information theory"

Morning Session

Feng Xu (University of California at Riverside)

"Local conformal field theories"

Ivan Kostov (CEA Saclay, France)

"String Theory on a Circle, Fredholm determinants and Toda Lattice Hierarchy"

Anne Schilling (University of California at Davis)

"Virtual crystals"

Afternoon Session

Edward Frenkel (University of California at Berkeley)

"Geometric approach to twisted modules over vertex algebras"

Weiqiang Wang (University of Virginia)

"W algebras and Hilbert schemes of points on surfaces"

Geoffrey Mason (University of California at Santa Cruz)

"Rational Conformal Field Theory & Toroidal Compactifications"

Morning Session

Mikhail Khovanov (University of California at Davis)

"Categorification of quantum group representations and its application in low-dimensional topology"

Haisheng Li (Rutgers University-Camden)

"Axiomatic G-vertex algebras of certain types"

Monica Vazirani (University of California at Berkeley)

"A Hecke shadow of tensoring the crystal of the basic representation"
Presentation (PDF File)

Afternoon Session

Gail Letzter (VPI and SU)

"A theory of quantum symmetric pairs and their zonal spherical functions"

Deepak Parashar (Max Planck Institute for Mathematics, Bonn)

"Some algebro-geometric aspects of biparametric and coloured quantum groups"

Takeshi Suzuki (RIMS)

"On representations of double affine Iwahori-Hecke algebras of type $A$"

Pierre Mathieu (Universite Laval)

"Parafermionic quasi-particle basis and fermionic-type characters"

Morning Session

Milen Yakimov (Cornell University)

"Complex Reductive Poisson-Lie Groups"

Vyjayanthi Chari (University of California at Riverside)

"Braid group actions, tensor products and a conjecture of Kaskiwana"

Tetsuji Miwa (Kyoto University)

"SI2 Coinvariants"

Afternoon Session

Alexander Barnard (University of California at Berkeley)

"Lorentzian reflection groups, GKMA's and modules forms"

Geoffrey Buhl (University of California at Santa Cruz)

"Rationality, Regularity, and Cz-cofiniteness"