ON THE l-ADIC COHOMOLOGY OF SOME p-ADICALLY UNIFORMIZED SHIMURA VARIETIES

Shen, Xu (2018) ON THE l-ADIC COHOMOLOGY OF SOME p-ADICALLY UNIFORMIZED SHIMURA VARIETIES. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 17 (5). pp. 1197-1226. ISSN 1474-7480, 1475-3030

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Abstract

We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieties at split places where they admit uniformization by finite products of Drinfeld upper half spaces. Our main results confirm Langlands-Kottwitz's description of the cohomology of Shimura varieties in new cases.

Item Type: Article
Uncontrolled Keywords: DIVISIBLE GROUPS; REPRESENTATIONS; GL(N); SPACES; CONJECTURE; FIELD; Shimura varieties; p-adic uniformization; l-adic cohomology
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Dec 2019 10:12
Last Modified: 04 Dec 2019 10:12
URI: https://pred.uni-regensburg.de/id/eprint/13653

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