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The Langlands-Kottwitz approach for the modular curve

Peter Scholze

Number 53
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.

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