3-7 December 2018
RIMS Kyoto
Asia/Tokyo timezone

Coherent Satake functor

6 Dec 2018, 14:00
1h
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN

Speaker

Roman Fedorov

Description

To a reductive group G one can associate the so-called Langlands dual group G^. The geometric Satake equivalence is the statement that the category of representations of G^ can be recovered as the category of G(O)-equivariant D-modules on the affine Grassmannain of G. (In fact, this can be taken as the definition of G^ via the Tannakian formalism). I will discuss an ongoing project with D. Arinkin where we aim at constructing the quasi-classical limit of the Satake equivalence, laying foundations for the local Hitchin-Langlands duality.

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