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Higgs algebra and loop crystals

Guillaume Pouchin
(Institut mathématique de Jussieu, France)
Seminar
Wednesday, 7 April, 2010, at 14:15-15:15, in Aud. D3 (1531-215)
Abstract:
Lusztig has constructed enveloping Kac-Moody algebras as constructible functions on some nilpotent part of the cotangent stack of representations of a quiver, and used it to obtain semi-canonical bases for these algebras. Later Kashiwara and Saito constructed the crystal structure of these bases geometrically. I will explain how we can transpose these techniques in the context of curves.
Organised by: CTQM/QGM
Contact person: Henning Haahr Andersen