The motivic Satake equivalence
Algebraic Geometry
2021-06-25 v3
Abstract
We refine the geometric Satake equivalence due to Ginzburg, Beilinson-Drinfeld, and Mirkovi\'c-Vilonen to an equivalence between mixed Tate motives on the double quotient and representations of Deligne's modification of the Langlands dual group .
Cite
@article{arxiv.1909.08322,
title = {The motivic Satake equivalence},
author = {Timo Richarz and Jakob Scholbach},
journal= {arXiv preprint arXiv:1909.08322},
year = {2021}
}
Comments
final published version (v2 contains a new section on sheaves vs. functions, v3 has an overhauled appendix and many more minor edits)