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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Detalles Bibliográficos
Publicado: 2011
Materias:
Galois representations
modularity
unitary groups
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v147_n4_p1022_Guerberoff
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
id paper:paper_0010437X_v147_n4_p1022_Guerberoff
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spelling paper:paper_0010437X_v147_n4_p1022_Guerberoff2023-06-08T14:34:20Z Modularity lifting theorems for Galois representations of unitary type 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v147_n4_p1022_Guerberoff 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
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.
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
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v147_n4_p1022_Guerberoff
http://hdl.handle.net/20.500.12110/paper_0010437X_v147_n4_p1022_Guerberoff
_version_ 1768544759033364480

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