Results 171 to 180 of about 2,228 (208)

A connectedness criterion for ℓ-adic galois representations-adic galois representations

Israel Journal of Mathematics, 1997
To every compatible system of Galois representations of a global fieldK, there is associated a natural invariantK conn, the smallest extension ofK over which the associated algebraic monodromy groups become connected. We present a purely field-theoretic construction ofK conn for all Galois representations arising from ...
Michael Larsen, Richard Pink
openaire   +1 more source

Local Representations of Galois Groups

The Annals of Mathematics, 1969
The 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.
openaire   +1 more source

Moduli of Galois Representations

Publications of the Research Institute for Mathematical Sciences, 2017
We 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 ...
openaire   +1 more source

Lifting Galois representations

Inventiones mathematicae, 1999
Let \({\mathbf k}\) be a finite field of characteristic \(p\) and \(G=\text{Gal}(\overline{\mathbb Q}/{\mathbb Q})\). If \(\overline\rho: G\rightarrow \text{GL}_2({\mathbf k})\) is a linear representation one would like to find a noetherian local ring \(A\) of characteristic 0 having \({\mathbf k}\) as a quotient and a continuous representation \(\rho ...
openaire   +1 more source

Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

Duke Mathematical Journal, 2021
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis   +2 more
exaly  

Constructing Galois representations ramified at one prime

Journal of Number Theory, 2021
Anwesh Ray
exaly  

Galois Action on Integral Representations

Journal of the London Mathematical Society, 1992
Ritter, Jürgen, Weiss, Alfred
openaire   +2 more sources

Deformations of Galois Representations

2013
These 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].
openaire   +1 more source

Density of automorphic points in deformation rings of polarized global Galois representations

Duke Mathematical Journal, 2022
Eugen Hellmann, Benjamin Schraen
exaly  

Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A) = Z

Experimental Mathematics, 2002
Luis Dieulefait
exaly