On -adic geometric representations of .
Wintenberger, J.-P. (2007)
Documenta Mathematica
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Wintenberger, J.-P. (2007)
Documenta Mathematica
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Skinner, Christopher (2009)
Documenta Mathematica
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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.
B. Mazur (1990)
Compositio Mathematica
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Chandrashekhar Khare, Michael Larsen, Gordan Savin (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This paper contains an application of Langlands’ functoriality principle to the following classical problem: which finite groups, in particular which simple groups appear as Galois groups over ? Let be a prime and a positive integer. We show that that the finite simple groups of Lie type if and appear as Galois groups over , for some divisible by . In particular, for each of the two Lie types and fixed we construct infinitely many Galois groups but we do not have a precise...
Noot, Rutger (2001)
Documenta Mathematica
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P. Bayer, J. C. Lario (1992)
Compositio Mathematica
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Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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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...