Geometric Satake, categorical traces, and arithmetic of Shimura varieties
arXiv:1810.07375
Abstract
We survey some recent work on the geometric Satake of p-adic groups and its applications to some arithmetic problems of Shimura varieties. We reformulate a few constructions appeared in the previous works more conceptually.
This is slightly modified version of the author's survey article published in book series Current Developments in Mathematics 2016. Compared with the published version, a few mistakes and typos are corrected and a few more explanations are given