Algebraic and Arithmetic Geometry Seminar

The motivic Satake equivalence

by Jakob Scholbach (Padova)

Aula Seminari (Department of Mathematics)

Aula Seminari

Department of Mathematics


The geometric Satake equivalence, due to Mirkovic and Vilonen, establishes an equivalence between certain perverse sheaves on the affine Grassmannian $Gr_G$, for a split reductive group $G$, and representations of the Langlands dual group $\hat G$. In my talk, I will report on joint work with Timo Richarz and with Robert Cass and Thibaud van den Hove, in which we prove a motivic refinement of this equivalence.