New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)
Experimental Mathematics
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Displaying similar documents to “Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms.”
New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
On Galois representations associated to Hilbert modular forms.
Richard Taylor (1989)
Inventiones mathematicae
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Explicit deformation of Galois representations.
Nigel Boston (1991)
Inventiones mathematicae
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Automorphy for some l-adic lifts of automorphic mod l Galois representations. II
Richard Taylor (2008)
Publications Mathématiques de l'IHÉS
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We extend the results of [CHT] by removing the ‘minimal ramification’ condition on the lifts. That is we establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), l-adic lifts of certain automorphic mod l Galois representations of any dimension. The main innovation is a new approach to the automorphy of non-minimal lifts which is closer in spirit to the methods of [TW] than to those of [W], which relied on Ihara’s lemma.
Several-variable -adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
J. Tilouine, E. Urban (1999)
Annales scientifiques de l'École Normale Supérieure
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Galois cohomology and Galois representations.
Shankar Sen (1993)
Inventiones mathematicae
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On Galois representations arising from towers of coverings of P1 ... .
Y. Ihara (1986)
Inventiones mathematicae
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Modularity of Galois representations
Chris Skinner (2003)
Journal de théorie des nombres de Bordeaux
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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, -adic Galois representations associated to holomorphic Hilbert modular newforms.
Global quadratic units and Hecke algebras.
Hida, Haruzo (1998)
Documenta Mathematica
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A non-selfdual automorphic representation of GL3 and a Galois representation.
Bert van Greemen, Jaap Top (1994)
Inventiones mathematicae
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Automorphy for some l-adic lifts of automorphic mod l Galois representations
Laurent Clozel, Michael Harris, Richard Taylor (2008)
Publications Mathématiques de l'IHÉS
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We extend the methods of Wiles and of Taylor and Wiles from GL2 to higher rank unitary groups and establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), minimally ramified, l-adic lifts of certain automorphic mod l Galois representations of any dimension. We also make a conjecture about the structure of mod l automorphic forms on definite unitary groups, which would generalise a lemma of Ihara for GL2. Following Wiles’ method we...
On -adic geometric representations of .
Wintenberger, J.-P. (2007)
Documenta Mathematica
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Higher congruence companion forms
Rajender Adibhatla, Jayanta Manoharmayum (2012)
Acta Arithmetica
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