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
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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
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Palabras clave: | Galois representations; modularity; unitary groups |
Año: | 2011
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Volumen: | 147
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Número: | 4
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Página de inicio: | 1022
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Página de fin: | 1058
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DOI: |
http://dx.doi.org/10.1112/S0010437X10005154 |
Título revista: | Compositio Mathematica
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Título revista abreviado: | Compos. Math.
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ISSN: | 0010437X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0010437X_v147_n4_p1022_Guerberoff |
Referencias:
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- Chenevier, G., Harris, M., (2009) Construction of automorphic Galois representations, II, , http://fa.institut.math.jussieu.fr/node/45, CH09, Preprint, available at
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- Clozel, L., Harris, M., Taylor, R., Automorphy for some ℓ-adic lifts of automorphic mod ℓ Galois representations (2008) Publ. Math. Inst. Hautes Études Sci., 108, pp. 1-181. , CHT08
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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