Modularity lifting theorems for Galois representations of unitary type

We prove modularity lifting theorems for ℓ-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille condition at ℓ. This extends the results of Clozel, Harris and Taylor, and the subsequent work by Taylor. The proof uses the Taylor-Wiles method, as im...

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Autor principal: Guerberoff, L.
Formato: JOUR
Materias:
Galois representations
modularity
unitary groups
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0010437X_v147_n4_p1022_Guerberoff
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_0010437X_v147_n4_p1022_Guerberoff2023-10-03T14:09:04Z Modularity lifting theorems for Galois representations of unitary type Guerberoff, L. Galois representations modularity unitary groups We prove modularity lifting theorems for ℓ-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille condition at ℓ. This extends the results of Clozel, Harris and Taylor, and the subsequent work by Taylor. The proof uses the Taylor-Wiles method, as improved by Diamond, Fujiwara, Kisin and Taylor, applied to Hecke algebras of unitary groups, and results of Labesse on stable base change and descent from unitary groups to GLn. © Copyright Foundation Compositio Mathematica 2011. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0010437X_v147_n4_p1022_Guerberoff
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Galois representations
modularity
unitary groups
spellingShingle Galois representations
modularity
unitary groups
Guerberoff, L.
Modularity lifting theorems for Galois representations of unitary type
topic_facet Galois representations
modularity
unitary groups
description We prove modularity lifting theorems for ℓ-adic Galois representations of any dimension satisfying a unitary type condition and a Fontaine-Laffaille condition at ℓ. This extends the results of Clozel, Harris and Taylor, and the subsequent work by Taylor. The proof uses the Taylor-Wiles method, as improved by Diamond, Fujiwara, Kisin and Taylor, applied to Hecke algebras of unitary groups, and results of Labesse on stable base change and descent from unitary groups to GLn. © Copyright Foundation Compositio Mathematica 2011.
format JOUR
author Guerberoff, L.
author_facet Guerberoff, L.
author_sort Guerberoff, L.
title Modularity lifting theorems for Galois representations of unitary type
title_short Modularity lifting theorems for Galois representations of unitary type
title_full Modularity lifting theorems for Galois representations of unitary type
title_fullStr Modularity lifting theorems for Galois representations of unitary type
title_full_unstemmed Modularity lifting theorems for Galois representations of unitary type
title_sort modularity lifting theorems for galois representations of unitary type
url http://hdl.handle.net/20.500.12110/paper_0010437X_v147_n4_p1022_Guerberoff
work_keys_str_mv AT guerberoffl modularityliftingtheoremsforgaloisrepresentationsofunitarytype
_version_ 1807319150937243648

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