Geometric Satake, categorical traces, and arithmetic of Shimura varieties
Algebraic Geometry
2018-10-18 v1 Number Theory
Representation Theory
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.
Cite
@article{arxiv.1810.07375,
title = {Geometric Satake, categorical traces, and arithmetic of Shimura varieties},
author = {Xinwen Zhu},
journal= {arXiv preprint arXiv:1810.07375},
year = {2018}
}
Comments
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