The Langlands-Kottwitz approach for some simple Shimura Varieties

Mathematics – Algebraic Geometry

Scientific paper

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23 pages

Scientific paper

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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