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Schedule, Notes/Handouts & Videos

Generalized McKay Correspondences and Representation Theory March 20, 2006 - March 24, 2006

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Mar 20, 2006
Monday
09:15 AM - 10:15 AM
  D-Branes, Mukai and McKay
Paul Aspinwall
11:00 AM - 12:00 PM
  From Categories to Geometry : Stability Conditions and Kleinian Singularities
Tom Bridgeland (University of Sheffield)
02:15 PM - 03:15 PM
  The Hopf Algebra Governing Orbifold Hochschild Cohomology
Andrei Caldararu (University of Wisconsin-Madison)
03:45 PM - 04:45 PM
  Matrix Factorizations and Complexes of Vector Bundle ---- An Approach from 2d QFT with Boundary
Kentaro Hori
Mar 21, 2006
Tuesday
09:30 AM - 10:30 AM
  Integrable Systems Related to Triangulated Categories
Alexei Bondal
11:00 AM - 12:00 PM
  McKay and Generalizations in the Symplectic Case
Dmitry Kaledin (HSE University; V. A. Steklov Institute of Mathematics)
01:30 PM - 02:30 PM
  Orbifold Riemann--Roch and Plurigenera
Miles Reid (University of Warwick)
02:45 PM - 03:45 PM
  Integral Cohomology of the Hilbert Schemes of Points on Surfaces
Wei-Ping Li
04:00 PM - 05:00 PM
  DeRham Model of Chen-Ruan Orbifold Cohomology Ring on Abelian Orbifolds
Bohui Chen
Mar 22, 2006
Wednesday
09:00 AM - 10:00 AM
  McKay Correspondence for Elliptic Genera
Lev Borisov
10:30 AM - 11:30 AM
  The Cohomological Crepant Resolution Conjecture for Orbifold with Transversal A_n-singularities
Fabio Perroni
01:00 PM - 02:00 PM
  The Cohomology Rings of Hilbert Schemes of Points and McKay-Ruan Correspondence
Weiqiang Wang
02:15 PM - 03:15 PM
  Conformal Field Theory and Operator Algebras
Yasuyuki Kawahigashi (the University of Tokyo)
03:45 PM - 04:45 PM
  Quantum Subgroups and Higher Quantum McKay Correspondences
Adrian Ocneanu
Mar 23, 2006
Thursday
09:00 AM - 10:00 AM
  McKay's Correspondence and Modular Representations of Finite Groups
Raphael Rouquier (University of California, Los Angeles)
10:30 AM - 11:30 AM
  Representation Theory for Vertex Operator Algebras
Chongying Dong
01:00 PM - 02:00 PM
  Noncommutative Geometry and Calabi-Yau Algebras
Victor Ginzburg (University of Chicago)
02:15 PM - 03:15 PM
  Vertex Operators and Quantum Cohomology
Naihuan Jing
03:30 PM - 04:30 PM
  The Mathematical and Visual Structure of Four Dimensional Regular Solids
Adrian Ocneanu
Mar 24, 2006
Friday
09:30 AM - 10:30 AM
  McKay Correspondence and Equivariant Sheaves on P^1
Alexander Kirillov
11:00 AM - 12:00 PM
  Quantum Versions of McKay Correspondence
Victor Ostrik (University of Oregon)
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