ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION

Shen, Xu (2019) ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 18 (1). pp. 1-24. ISSN 1474-7480, 1475-3030

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Abstract

We determine the Galois representations inside the l-adic cohomology of some quaternionic and related unitary Shimura varieties at ramified places. The main results generalize the previous works of Reimann and Kottwitz in this setting to arbitrary levels at p, and confirm the expected description of the cohomology due to Langlands and Kottwitz.

Item Type: Article
Uncontrolled Keywords: ZETA-FUNCTION; REPRESENTATIONS; GL(N); Shimura varieties; quaternion algebras; cohomology
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Apr 2020 06:34
Last Modified: 28 Apr 2020 06:34
URI: https://pred.uni-regensburg.de/id/eprint/27954

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