Results 31 to 40 of about 624 (65)

SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS

Forum of Mathematics, Sigma, 2016
A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ, FRED DIAMOND, DAVID P. ROBERTS   +2 more
doaj   +1 more source

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2017
Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON, DAVIDE REDUZZI, LIANG XIAO   +2 more
doaj   +1 more source

On local Galois deformation rings: generalised reductive groups

Forum of Mathematics, Pi
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised reductive group schemes, such as L-groups and C-groups.
Vytautas Paškūnas, Julian Quast
doaj   +1 more source

Irreducible adjoint representations in prime power dimensions, with an application [PDF]

, 2014
We construct an infinite family of representations of finite groups with an irreducible adjoint action and we give an application to the question of lacunary of Frobenius traces in Galois representations.Comment: To appear in the Journal of the Ramanujan
Chiriac, Liubomir
core   +1 more source

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

Forum of Mathematics, Sigma, 2016
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
doaj   +1 more source

Lifting G-Valued Galois Representations when $\ell \neq p$

Forum of Mathematics, Sigma
In this paper, we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when $\ell \neq p$ .
Jeremy Booher, Sean Cotner, Shiang Tang
doaj   +1 more source

On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form

, 2010
We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois, Bloch, Citro, Deligne, Flach, Greenberg, Hida, Hida, Ramakrishnan, Robert Harron, Urban, Weston   +11 more
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Abelian varieties over large algebraic fields with infinite torsion [PDF]

, 2010
Let A be an abelian variety of positive dimension defined over a number field K and let Kbar be a fixed algebraic closure of K. For each element sigma of the absolute Galois group Gal(Kbar/K), let Kbar(sigma) be the fixed field of sigma in Kbar. We shall
Zywina, David
core  

Modularity of trianguline Galois representations

Forum of Mathematics, Sigma
We use the theory of trianguline $(\varphi ,\Gamma )$ -modules over pseudorigid spaces to prove a modularity lifting theorem for certain Galois representations which are trianguline at p, including those with characteristic p coefficients.
Rebecca Bellovin
doaj   +1 more source

Local-global compatibility for regular algebraic cuspidal automorphic representations when $\ell \neq p$

Forum of Mathematics, Sigma
We prove the compatibility of local and global Langlands correspondences for $\operatorname {GL}_n$ up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne [10] and Scholze [18]. More precisely, let $r_p(
Ila Varma
doaj   +1 more source