On the image of -adic Galois representations for abelian varieties of type I and II.
Banaszak, G., Gajda, W., Krasoń, P. (2007)
Documenta Mathematica
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Displaying similar documents to “Lifting Galois representations and a conjecture of Fontaine and Mazur.”
On the image of -adic Galois representations for abelian varieties of type I and II.
A note on the -adic Galois representations attached to Hilbert modular forms.
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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...
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Modularity of fibres in rigid local systems.
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We prove the compatibility of the local and global Langlands correspondences at places dividing for the -adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing and have Shin-regular weight.
Two-dimensional -adic Galois representations unramified away from
B. Mazur (1990)
Compositio Mathematica
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