Deformations of Galois representations arising from degenerate extensions
Adam Logan (2002)
Acta Arithmetica
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Displaying similar documents to “Explicit deformation of Galois representations.”
Deformations of Galois representations arising from degenerate extensions
On Galois representations arising from towers of coverings of P1 ... .
Y. Ihara (1986)
Inventiones mathematicae
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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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Galois representations of dihedral type over ℚₚ
Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
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Galois cohomology and Galois representations.
Shankar Sen (1993)
Inventiones mathematicae
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An infinite ferm in the universal deformation space of Galois representations.
B. Mazur (1997)
Collectanea Mathematica
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I hope this article will be helpful to people who might want a quick overview of how modular representations fit into the theory of deformations of Galois representations. There is also a more specific aim: to sketch a construction of a point-set topological'' configuration (the image of an infinite fern'') which emerges from consideration of modular representations in the universal deformation space of all Galois representations. This is a configuration hinted previously, but now, thanks...
On cohomological systems of Galois representations
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...
Explicit solutions to embedding problems associated to orthogonal Galois representations.
Teresa Crespo (1990)
Journal für die reine und angewandte Mathematik
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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.
Classification of the Primitive Representations of the Galois Group of Local Fields.
Helmut Koch (1977)
Inventiones mathematicae
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Galois representations on profinite braid groups on curves.
Makoto Matsumoto (1996)
Journal für die reine und angewandte Mathematik
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On the surjectivity of Galois representations attached to elliptic curves over number fields
Álvaro Lozano-Robledo (2005)
Acta Arithmetica
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On representations of the Weil group with bounded conductor.
D. Blasius, G. Anderson, G. Zettler (1994)
Forum mathematicum
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Galois coverings and the Clebsch-Gordan problem for quiver representations
Martin Herschend (2007)
Colloquium Mathematicae
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We study the Clebsch-Gordan problem for quiver representations, i.e. the problem of decomposing the point-wise tensor product of any two representations of a quiver into its indecomposable direct summands. For this purpose we develop results describing the behaviour of the point-wise tensor product under Galois coverings. These are applied to solve the Clebsch-Gordan problem for the double loop quivers with relations αβ = βα = αⁿ = βⁿ = 0. These quivers were originally studied by I....