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Seminar by Guillaume Pouchin (Institut mathématique de Jussieu, France)

Title: Higgs algebra and loop crystals

2013.11.25 | Christine Dilling

Date Wed 07 Apr
Time 14:15 15:15
Location Aud. D3


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.