On the surjectivity of Galois representations attached to elliptic curves over number fields
Álvaro Lozano-Robledo (2005)
Acta Arithmetica
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Álvaro Lozano-Robledo (2005)
Acta Arithmetica
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Y. Ihara (1986)
Inventiones mathematicae
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Shankar Sen (1980/81)
Inventiones mathematicae
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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.
Nigel Boston (1991)
Inventiones mathematicae
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Wojciech Gajda, Sebastian Petersen (2016)
Banach Center Publications
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The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead...
Francois Destrempes (1993)
Inventiones mathematicae
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Pilar Bayer, Gerhard Frey (1991)
Mathematische Zeitschrift
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Hida, Haruzo (1998)
Documenta Mathematica
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Makoto Matsumoto (1996)
Journal für die reine und angewandte Mathematik
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Jochen Koenigsmann (1995)
Journal für die reine und angewandte Mathematik
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Rodney I. Yager (1984)
Inventiones mathematicae
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Robert E. Kottwitz (1992)
Inventiones mathematicae
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