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pop@ams.org |
Representations of Algebraic Groups, Quantum Groups, and Lie Algebras Sunday, July 11- Thursday, July 15, 2004 Organizing Committee: The main theme of the conference will focus on canonical bases from these different points of view. The talks will provide various interpretations and applications of canonical bases. These subjects are very closely related to finite-dimensional representations of affine Hecke algebras, affine quantum groups, Nakajima's quiver varieties, and the structure of Hall algebras. Knowledge about these algebras can lead to new results about the representations of Schur algebras and finite-dimensional Hecke algebras. In addition, the conference will feature talks on the K-theoretic and geometric approaches towards the understanding of the (nonrestricted) modular representations of Lie algebras and of algebraic groups in positive characteristics. The main topics the conference will concentrate on are: 1. Representations of algebraic groups in characteristics 2. Modular representations of Lie algebras in positive characteristics 3. Representations of affine Kac-Moody Lie algebras, their quantum analogs, and Hecke algebras 4. Representations of the Ringel-Hall double algebras of quivers 5. Representations of quantum groups at roots of unity and quantum affine algebras List of principal speakers: Henning H. Andersen, Aarhus University, Denmark; Jie Du, University of New South Wales, Sydney, Australia; Seok-Jin Kang, Korea Institute for Advanced Study, Seoul, South Korea; Alexander Kleshchev, University of Oregon, USA; George Lusztig, MIT, USA; Ivan Mirkovic, University of Massachusetts, USA; Hiraku Nakajima, Kyoto University, Japan; Alexander Premet, University of Manchester, UK; Eric Vasserot, Université de Cergy-Pontoise, France; Jie Xiao, Tsinghua University, Beijing, China. Further information about the conference is available at the website maintained by the organizers: http://www.math.ksu.edu/~zlin/ams2004.html. |
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