On the cohomology of compact unitary group Shimura varieties at ramified split places

DOI10.1090/S0894-0347-2012-00752-8zbMath1385.11041arXiv1110.0232OpenAlexW2096675909MaRDI QIDQ4922277

Peter Scholze, Sug Woo Shin

Publication date: 29 May 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0232

zbMATH Keywords

Shimura varietiesrepresentation theory, Hecke correspondences, Galois representations

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

Nonemptiness of Newton strata of Shimura varieties of Hodge type, ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION, Langlands program and Ramanujan Conjecture: A survey, Local models of Shimura varieties and a conjecture of Kottwitz, On the generic part of the cohomology of compact unitary Shimura varieties, Centre de Bernstein dual pour les groupes classiques, Nearby cycles of automorphic étale sheaves, Representations of reductive groups over local fields, Points on Shimura varieties modulo primes, An approach to the characterization of the local Langlands correspondence, The Langlands-Kottwitz approach for some simple Shimura varieties, The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields, The Langlands-Kottwitz method and deformation spaces of 𝑝-divisible groups, ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES, On the non-abelian global class field theory

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