Local-global compatibility for \(l=p\). I

DOI10.5802/afst.1329zbMath1259.11057arXiv1105.2240OpenAlexW2963685695MaRDI QIDQ2428957

Toby Gee, David Geraghty, Thomas Barnet-Lamb, Richard Taylor

Publication date: 22 April 2012

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2240

zbMATH Keywords

automorphic formsGalois representationsLanglands correspondenceslocal-global compatibility

Mathematics Subject Classification ID

Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

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Locally algebraic vectors in the Breuil-Herzig ordinary part ⋮ Serre weights for rank two unitary groups ⋮ A proof of the Breuil-Schneider conjecture in the indecomposable case ⋮ Potential automorphy and change of weight ⋮ On the cohomology of compact unitary group Shimura varieties at ramified split places ⋮ Lattices in the cohomology of \(U(3)\) arithmetic manifolds ⋮ The Breuil-Schneider Conjecture: A Survey ⋮ Local Langlands correspondence in rigid families ⋮ Galois representations attached to automorphic forms on over fields

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