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Local Representations of Galois Groups
The Annals of Mathematics, 1969The purpose of this paper is to present some infinite Galois extensions of algebraic number fields, whose Galois groups possess some matrix representations in local fields, through which the Frobenius automorphisms have algebraic numbers of absolute value N(p)A/2 as characteristic roots.
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Deforming Galois Representations
1989Given a continuous homomorphism $${G_{Q,S}}G{L_2}\left( {{Z_p}} \right)$$ where Gℚ,S is the Galois group of the maximal algebraic extension of ℚ unramified outside the finite set S of primes of ℚ, the motivating problem of this paper is to study, in a systematic way, the possible liftings of ρ to p-adic representations, $${G_{Q,S}}\mathop ...
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Moduli of Galois Representations
Publications of the Research Institute for Mathematical Sciences, 2017We develop a theory of moduli of Galois representations. More generally, for an object in a rather general class \mathfrak A of noncommutative topological rings, we construct a moduli space of its absolutely irreducible representations of a fixed ...
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Irreducibility of automorphic Galois representations of low dimensions
Mathematische Annalen, 2018Yuhou Xia
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Deformations of Galois Representations
2013These lecture notes give an introduction to deformations of Galois representations with an eye toward the application of this theory in the proof of the Serre conjecture [29, 30] by Khare–Wintenberger. There exist several other surveys such as [18, 23, 37, 40].
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Galois Action on Integral Representations
Journal of the London Mathematical Society, 1992Ritter, Jürgen, Weiss, Alfred
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