A note on the global Langlands conjecture.
Lapid, Erez M. (1998)
Documenta Mathematica
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Lapid, Erez M. (1998)
Documenta Mathematica
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Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
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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.
Doud, Darrin (2005)
Experimental Mathematics
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Nigel Boston (1991)
Inventiones mathematicae
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Shankar Sen (1993)
Inventiones mathematicae
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Adam Logan (2002)
Acta Arithmetica
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Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)
Experimental Mathematics
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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.
Florian Pop (1995)
Inventiones mathematicae
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Y. Ihara (1986)
Inventiones mathematicae
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John Coates, Ramdorai Sujatha, Jean-Pierre Wintenberger (2001)
Publications Mathématiques de l'IHÉS
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Noot, Rutger (2001)
Documenta Mathematica
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Teresa Crespo (1990)
Journal für die reine und angewandte Mathematik
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