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Schedule, Notes/Handouts & Videos

Conformal Field Theory and Supersymmetry April 15, 2002 - April 26, 2002

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Apr 15, 2002
Monday
08:00 AM - 05:00 PM
  TBA
Anton Kapustin
09:15 AM - 09:45 AM
  Morning Tea
09:45 AM - 10:00 AM
  Welcome & Introduction
Loa Nowina-Sapinski
10:00 AM - 11:00 AM
  Frobenius manifolds and integrable systems
Boris Dubrovin (Scuola Internazionale Superiore di Studi Avanzati (SISSA))
11:30 AM - 12:30 PM
  Sl_2 loop algebra symmetery in the six vertex model at roots of unity
Barry McCoy
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Strings in AdS_3 and the SL(2,R) WZW model
Hirosi Ooguri
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Some mathematical problems in Conformal Field Theory
Jean-Bernard Zuber
Apr 16, 2002
Tuesday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Exploring a moduli space: CFT on K3
Werner Nahm
11:30 AM - 12:30 PM
  Quantum Liouville theory versus quantum Teichmueller space
Joerg Teschner (Universit├Ąt Hamburg)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Conformal Field Theory associated to regular chiral vartex operator algebras
Akihiro Tsuchiya
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Gauss-Selberg sums
Ivan Cherednik (University of North Carolina)
04:30 PM - 05:30 PM
  Reception
Apr 17, 2002
Wednesday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Tensor categories and orbifold vertex algebras
Alexander Kirillov
11:30 AM - 12:30 PM
  Affine Kac-Moody algebras and geometric Langlands correspondence
Edward Frenkel (University of California, Berkeley)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:15 PM
  Representation theory beyond affine Lie algebras: A perspective
Igor Frenkel
03:15 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Semisimplicity of orbifold vertex algebras
Alexander Voronov
Apr 18, 2002
Thursday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Quantization of affine Jacobian and duality
Fedor Smirnov
11:30 AM - 12:30 PM
  Conformal Field Theory as a completely integrable quantum system
Vladimir Bazhanov
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Formal group laws for infinite-dimensional Lie algebras
Richard Borcherds (University of California, Berkeley)
03:00 PM - 03:15 PM
  Afternoon Tea
03:15 PM - 04:15 PM
  Vertex algebras and mirror symmetry
Anton Kapustin
04:30 PM - 05:30 PM
  Generalized Kirillov-Reshetkhin modules over quantum affine algebras
Ian Grojnowski
Apr 19, 2002
Friday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Ideals in the Weyl algebra
George Wilson
11:30 AM - 12:30 PM
  Matrix integrals, random words and walks
Pierre van Moerbeke
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Operator algebraic analysis of solvable lattice models
Antony Wassermann
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Local conformal field theory
Feng Xu
Apr 22, 2002
Monday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Group-theoretic and low-dimensional origins of supersymmetry
Sylvester Gates (Brown University)
11:30 AM - 12:30 PM
  Introduction to supersymmetry
Dan Freed (University of Texas, Austin)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Gauge theories on noncommutative spaces
Bruno Zumino
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Representations of linearly compact Lie superalgebras and the Standard Model
Victor Kac
Apr 23, 2002
Tuesday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Superconnections in geometry, commutative and noncommutative
John Lott (University of California, Berkeley)
11:30 AM - 12:30 PM
  Variations of Hodge structure associated to Calabi-Yau three folds with h^3=4
John Morgan (Columbia University)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Representations and characters for Lie superalgebras
Vera Serganova (University of California, Berkeley)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  The centre of P-type Lie superalgebra
Maria Gorelik (Weizmann Institute of Science)
Apr 24, 2002
Wednesday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  D-branes, supersymmetry, and mirror symmetry
Kentaro Hori
11:30 AM - 12:30 PM
  Del Pezzo surfaces in string theory
Amer Iqbal
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Chiral De Rham Complex
Arkady Vaintrob
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  N=2 Supersymmetry of Super KP Equations
Jeff Rabin
Apr 25, 2002
Thursday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  Convexity theorems and the order relation on nilpotents based on orbit closure
Bertram Kostant
11:30 AM - 12:30 PM
  Maximally supersymmetric gauge theories
Albert Schwarz
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Superstring scattering amplitudes and modular forms
Duong Phong
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  (Math Dept. Colloquium, Evans Hall Rm. 60) From numbers to q-numbers to elliptic numbers: The elliptic gamma function
Giovanni Felder (ETH Z├╝rich)
Apr 26, 2002
Friday
09:30 AM - 10:00 AM
  Morning Tea
10:00 AM - 11:00 AM
  From unique factorization of graphs to gauge symmetries
Dirk Kreimer
11:30 AM - 12:30 PM
  On representations of contact superconformal algebras
Elena Poletaeva
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A generalization of Harish-Chandra's discrete series to Lie superalgebras
Gregg Zuckerman
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Hodge theory and supersymmetry on Kahler, hyperkahler, and hyperkahler torsion manifolds
Misha Verbitsky