English

The Langlands-Kottwitz approach for some simple Shimura Varieties

Algebraic Geometry 2010-10-11 v2 Number Theory

Abstract

We show how the Langlands-Kottwitz method can be used to determine the semisimple local factors of the Hasse-Weil zeta-function of certain Shimura varieties. On the way, we prove a conjecture of Haines and Kottwitz in this special case.

Cite

@article{arxiv.1003.2451,
  title  = {The Langlands-Kottwitz approach for some simple Shimura Varieties},
  author = {Peter Scholze},
  journal= {arXiv preprint arXiv:1003.2451},
  year   = {2010}
}

Comments

23 pages

R2 v1 2026-06-21T14:56:58.506Z