Abstract Roman Fedorov

Roman Fedorov will speak on

Coherent Satake Functor

Abstract: To a reductive group G one associates 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.