Vanishing theorems for Shimura varieties at unipotent level

DOI10.4171/JEMS/1195arXiv1910.09214OpenAlexW2980554438WikidataQ113691994 ScholiaQ113691994MaRDI QIDQ6160159

Ana Caraiani, Christian Johansson, Daniel R. Gulotta

Publication date: 9 May 2023

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

Full work available at URL: https://arxiv.org/abs/1910.09214

zbMATH Keywords

locally symmetric spacesperfectoid spaces\(p\)-adic automorphic forms

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Cohomology of arithmetic groups (11F75) Automorphic forms and their relations with perfectoid spaces (11F77) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• Eigenvarieties for reductive groups
• On torsion in the cohomology of locally symmetric varieties
• Quasi-augmented simplicial spaces, with an application to cohomological dimension
• On the generic part of the cohomology of compact unitary Shimura varieties
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Universal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functoriality
• On the vanishing of \(\lim_{(i)}\)
• Completed cohomology – a survey
• On Emerton’s p-adic Banach Spaces
• Integral models for Shimura varieties of abelian type
• On the p-adic cohomology of the Lubin-Tate tower
• Shimura varieties at level and Galois representations
• Relative p-adic Hodge theory: Foundations
• Möbius orthogonality for generalized Morse-Kakutani flows
• Perfectoid Spaces: A survey
• Elementary Differential Topology. (AM-54)
• Travaux de Shimura

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