SHIMURA VARIETIES WITH Γ1(p)-LEVEL VIA HECKE ALGEBRA ISOMORPHISMS: THE DRINFELD CASE
نویسندگان
چکیده
We study the local factor at p of the semi-simple zeta function of a Shimura variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an Iwahori subgroup. Our method is an adaptation to this case of the Langlands-Kottwitz counting method. We explicitly determine the corresponding test functions in suitable Hecke algebras, and show their centrality by determining their images under the Hecke algebra isomorphisms of Goldstein, Morris, and Roche.
منابع مشابه
Local Models of Shimura Varieties and a Conjecture of Kottwitz
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