Weight cycling and Serre-type conjectures for unitary groups

DOI10.1215/00127094-2266365zbMath1283.11083arXiv1106.4522OpenAlexW3102943750WikidataQ123219860 ScholiaQ123219860MaRDI QIDQ354038

Toby Gee, Florian Herzig, Matthew Emerton

Publication date: 17 July 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4522

zbMATH Keywords

unitary groupweightHecke-operatormodular Galois representationp-adic Hodge theory

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

General Serre weight conjectures, Serre weights for rank two unitary groups, Smoothness and classicality on eigenvarieties, Crystalline liftings and the weight part of Serre's conjecture, Reduction modulo 𝑝 of certain semi-stable representations, On mod local-global compatibility for in the ordinary case, Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \), Local models for Galois deformation rings and applications, SUR LA TORSION DANS LA COHOMOLOGIE DES VARIÉTÉS DE SHIMURA DE KOTTWITZ-HARRIS-TAYLOR, Semistable deformation rings in even Hodge-Tate weights, Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows, Potentially crystalline deformation rings in the ordinary case, Serre weights for \(\mathrm{U}(n)\), Lattices in the cohomology of \(U(3)\) arithmetic manifolds, A classification of Breuil modules, ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS, SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE, Diagrams in the mod p cohomology of Shimura curves, Weight elimination in Serre-type conjectures, Serre weight conjectures for \(p\)-adic unitary groups of rank 2, Ordinary representations of \(G(\mathbb{Q}_p)\) and fundamental algebraic representations

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