几何Satake、范畴迹与Shimura簇的算术
代数几何
2018-10-18 v1 数论
表示论
摘要
我们综述了关于p-adic群的几何Satake及其在一些Shimura簇算术问题上的应用的一些近期工作。我们更概念性地重新表述了先前工作中出现的若干构造。
引用
@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}
}
备注
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