Mazur's principle in higher dimension

DOI10.5802/JEP.92zbMath1460.11073OpenAlexW2936693314MaRDI QIDQ1738366

Pascal Boyer

Publication date: 18 April 2019

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jep.92

zbMATH Keywords

Shimura varietiesGalois representationlocalized cohomologymaximal ideal of the Hecke algebratorsion in the cohomology

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)

Cites Work

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• Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties
• Serre's modularity conjecture. II
• Induced \(R\)-representations of \(p\)-adic reductive groups
• On the generic part of the cohomology of compact unitary Shimura varieties
• Torsion classes in the cohomology of KHT Shimura varieties
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Compatibility of local and global Langlands correspondences
• Conjecture de monodromie-poids pour quelques variétés de Shimura unitaires
• SUR LA TORSION DANS LA COHOMOLOGIE DES VARIÉTÉS DE SHIMURA DE KOTTWITZ-HARRIS-TAYLOR
• Filtrations de stratification de quelques variétés de Shimura simples
• Un cas simple de correspondance de Jacquet-Langlands modulo ℓ

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