The Langlands-Kottwitz approach for the modular curve
Peter Scholze
Number | 53 |
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Author | Prof. Dr. Peter Scholze |
Project | B01 |
Year | 2010 |
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.