SUR LA TORSION DANS LA COHOMOLOGIE DES VARIÉTÉS DE SHIMURA DE KOTTWITZ-HARRIS-TAYLOR

DOI10.1017/S1474748017000093zbMath1443.11080arXiv1503.03303MaRDI QIDQ4634340

Pascal Boyer

Publication date: 7 May 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03303

zbMATH Keywords

variété de Shimuraclasses de cohomologie de torsionfaisceau perversreprésentation automorphe

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) (p)-adic theory, local fields (11F85) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

On the generic part of the cohomology of compact unitary Shimura varieties ⋮ Local-global compatibility of mod \(p\) Langlands program for certain Shimura varieties ⋮ On the étale cohomology of Hilbert modular varieties with torsion coefficients ⋮ IHARA LEMMA AND LEVEL RAISING IN HIGHER DIMENSION ⋮ Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ Galois irreducibility implies cohomology freeness for KHT Shimura varieties ⋮ The cohomology of Shimura varieties with torsion coefficients ⋮ A p$p$‐adic approach to the existence of level‐raising congruences ⋮ Shimura varieties at level and Galois representations ⋮ Vanishing theorems for the mod p cohomology of some simple Shimura varieties ⋮ Mazur's principle in higher dimension ⋮ Optimal control and stability analysis of malaria disease: a model based approach

Cites Work

• Unnamed Item
• Weight cycling and Serre-type conjectures for unitary groups
• Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties
• On torsion in the cohomology of locally symmetric varieties
• On the generic part of the cohomology of compact unitary Shimura varieties
• The weight in a Serre-type conjecture for tame \(n\)-dimensional Galois representations
• \(p\)-adic Hodge-theoretic properties of étale cohomology with \(\mod{p}\) coefficients, and the cohomology of Shimura varieties
• Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Plurigenera of general type surfaces in mixed characteristic
• Congruence relations on some Shimura varieties
• Filtrations de stratification de quelques variétés de Shimura simples
• Automorphic congruences and torsion in the cohomology of Harris-Taylor local systems

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