The Langlands-Kottwitz approach for the modular curve
Algebraic Geometry
2010-03-10 v1 Number Theory
Abstract
We show how the Langlands-Kottwitz method can be used to determine the local factors of the Hasse-Weil zeta-function of the modular curve at places of bad reduction. On the way, we prove a conjecture of Haines and Kottwitz in this special case.
Cite
@article{arxiv.1003.1935,
title = {The Langlands-Kottwitz approach for the modular curve},
author = {Peter Scholze},
journal= {arXiv preprint arXiv:1003.1935},
year = {2010}
}
Comments
39 pages