The Langlands-Kottwitz approach for some simple Shimura Varieties
arXiv:1003.2451
Abstract
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.
23 pages