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Abstract:

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.

Registro:

Documento: Artículo
Título:Modularity lifting theorems for Galois representations of unitary type
Autor:Guerberoff, L.
Filiación:Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, C.P.: 1428, Buenos Aires, Argentina
Institut de Mathématiques de Jussieu, Université Paris 7, 4, place Jussieu, Tour 15-16, Bureau 512, 75252 Paris Cedex 05, France
Palabras clave:Galois representations; modularity; unitary groups
Año:2011
Volumen:147
Número:4
Página de inicio:1022
Página de fin:1058
DOI: http://dx.doi.org/10.1112/S0010437X10005154
Título revista:Compositio Mathematica
Título revista abreviado:Compos. Math.
ISSN:0010437X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v147_n4_p1022_Guerberoff

Referencias:

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Citas:

---------- APA ----------
(2011) . Modularity lifting theorems for Galois representations of unitary type. Compositio Mathematica, 147(4), 1022-1058.
http://dx.doi.org/10.1112/S0010437X10005154
---------- CHICAGO ----------
Guerberoff, L. "Modularity lifting theorems for Galois representations of unitary type" . Compositio Mathematica 147, no. 4 (2011) : 1022-1058.
http://dx.doi.org/10.1112/S0010437X10005154
---------- MLA ----------
Guerberoff, L. "Modularity lifting theorems for Galois representations of unitary type" . Compositio Mathematica, vol. 147, no. 4, 2011, pp. 1022-1058.
http://dx.doi.org/10.1112/S0010437X10005154
---------- VANCOUVER ----------
Guerberoff, L. Modularity lifting theorems for Galois representations of unitary type. Compos. Math. 2011;147(4):1022-1058.
http://dx.doi.org/10.1112/S0010437X10005154