On Emerton’s p-adic Banach Spaces

DOI10.1093/IMRN/RNQ042zbMath1206.14039arXiv0708.0420OpenAlexW2030690179MaRDI QIDQ3053713

Richard M. Hill

Publication date: 29 October 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0420

zbMATH Keywords

completed cohomology\(p\)-adic automorphic forms\(p\)-adic Banach space representation

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic cohomology, crystalline cohomology (14F30) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Cohomology of arithmetic groups (11F75)

Related Items (4)

Perfectoid Shimura varieties and the Calegari–Emerton conjectures ⋮ Vanishing theorems for Shimura varieties at unipotent level ⋮ Shimura varieties at level and Galois representations ⋮ Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields

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