Representation of Loop Groups - IPAM

Representation of Loop Groups

Part of the Long Program Conformal Field Theory and Applications
November 12 - 16, 2001

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, November 12, 2001

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-10:00
Nicolai Reshetikhin (University of California, Berkeley (UC Berkeley))
Invariants of tangles with flat connections in the complement
10:00-11:00
Naihuan Jing (North Carolina State University)
McKay correspondence and spin characters
11:00-11:10
Coffee Break
11:10-12:00
Hans Wenzl (University of California at San Diego)
Braid representations for Lie type E_N

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Yun Gao (York University)
Extended affine Lie algebras: Classification, Representation, and Quantization
15:00-16:00
David Ben-Zvi (University of Texas at Austin)
Geometry of the Sugawara Construction
16:00-16:10
Break
16:10-17:00
Leon Takhtajan (SUNY Stony Brook)
Analytic torsion and Faddeev-Popov ghosts on Riemann surfaces
17:00
Wine/Cheese Reception (Hosted by IPAM)

Tuesday, November 13, 2001

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Chongying Dong (University of California at Santa Cruz)
Elliptic genus and vertex operator algebras
10:00-11:00
Victor Ginzburg (University of Chicago)
Symplectic reflection algebras and representation theory
11:00-11:10
Coffee Break
11:10-12:00
Rinat Kedem (University of Illinois at Urbana-Champaign)
Fusion rules and Restricted Kostka Polynomials

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Akihiro Tsuchiya (Nagoya University)
Comformal Field Theory defined by regular chiral vertex operator algebras
15:00-16:00
Fedor Smirnov (CNRS, France)
Duality in quantum integrable models.
16:00-16:10
Break
16:10-17:00
Rinat Kashaev (Nokia Research Center)
Matrix integral combinatorics in information theory
17:20-17:40
Short Communications

Wednesday, November 14, 2001

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Feng Xu (University of California at Riverside)
Local conformal field theories
10:00-11:00
Ivan Kostov (CEA Saclay, France)
String Theory on a Circle, Fredholm determinants and Toda Lattice Hierarchy
11:00-11:10
Coffee Break
11:10-12:00
Anne Schilling (University of California, Davis (UC Davis))
Virtual crystals

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Edward Frenkel (University of California at Berkeley)
Geometric approach to twisted modules over vertex algebras
15:00-16:00
Weiqiang Wang (University of Virginia)
W algebras and Hilbert schemes of points on surfaces
16:00-16:10
Break
16:10-17:00
Geoffrey Mason (University of California at Santa Cruz)
Rational Conformal Field Theory & Toroidal Compactifications
17:20-17:40
Short Communications

Thursday, November 15, 2001

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Mikhail Khovanov (Columbia University)
Categorification of quantum group representations and its application in low-dimensional topology
10:00-11:00
Haisheng Li (Rutgers University-Camden)
Axiomatic <i>G</i>-vertex algebras of certain types
11:00-11:10
Coffee Break
11:10-12:00
Monica Vazirani (University of California at Berkeley)
A Hecke shadow of tensoring the crystal of the basic representation

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-15:00
Gail Letzter (VPI and SU)
A theory of quantum symmetric pairs and their zonal spherical functions
15:00-16:00
Deepak Parashar (Max Planck Institute for Mathematics, Bonn)
Some algebro-geometric aspects of biparametric and coloured quantum groups
16:00-16:10
Break
16:10-17:00
Takeshi Suzuki (RIMS)
On representations of double affine Iwahori-Hecke algebras of type $A$
17:00-18:00
Pierre Mathieu (Universite Laval)
Parafermionic quasi-particle basis and fermionic-type characters
18:00
Dinner (Hosted by IPAM)

Friday, November 16, 2001

Morning Session

08:00-09:00
Continental Breakfast
09:00-10:00
Milen Yakimov (Cornell University)
Complex Reductive Poisson-Lie Groups
10:00-11:00
Vyjayanthi Chari (University of California at Riverside)
Braid group actions, tensor products and a conjecture of Kaskiwana
11:00-11:10
Coffee Break
11:10-12:00
Tetsuji Miwa (Kyoto University)
SI2 Coinvariants

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-14:30
Alexander Barnard (University of California at Berkeley)
Lorentzian reflection groups, GKMA's and modules forms
14:30-15:00
Geoffrey Buhl (University of California at Santa Cruz)
Rationality, Regularity, and Cz-cofiniteness
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