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The Langlands-Kottwitz approach for some simple Shimura Varieties

Peter Scholze

Number 52
Author Prof. Dr. Peter Scholze
Project B01
Year 2010

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.

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