Geometric Satake correspondence

Thursday, October 7, 2021 - 13:00 to 14:00

Zoom, Meeting ID: 928 0506 1304

Speaker Information
Roman Fedorov

Abstract or Additional Information

Let G be a reductive group and Gr_G be its affine Grassmannian.
Following a paper of Mirkovic and Vilonen, I will explain that the
category of G_O-equivariant perverse sheaves on Gr_G is equivalent to
the category of representations of the Langlands dual group of G.
Somewhat surprisingly, this can be taken as the definition of the
Langlands dual group. I will not assume that the listeners are
familiar with perverse sheaves but I will assume some knowledge of
affine Grassmannians.