Results 11 to 20 of about 676,000 (198)
Black Box Galois Representations [PDF]
Journal of Algebra, 2018 We develop methods to study $2$-dimensional $2$-adic Galois representations $\rho$ of the absolute Galois group of a number field $K$, unramified outside a known finite set of primes $S$ of $K$, which are presented as Black Box representations, where we ...
Argáez-García, Alejandro +1 more
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LIFTING TORSION GALOIS REPRESENTATIONS [PDF]
Forum of Mathematics, Sigma, 2015 Let $p\geqslant 5$ be a prime, and let ${\mathcal{O}}$ be the ring of integers of a finite extension $K$ of $\mathbb{Q}_{p}$ with uniformizer ${\it\pi}$. Let ${\it\rho}_{n}:G_{\mathbb{Q}}\rightarrow \mathit{GL}_{2}\left({\mathcal{O}}/({\it\pi}^{n})\right)
CHANDRASHEKHAR KHARE, RAVI RAMAKRISHNA
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Deforming semistable Galois representations. [PDF]
Proc Natl Acad Sci U S A, 1997 Let V be a p -adic representation of Gal (Q̄/Q). One of the ideas of Wiles’s proof of FLT is that, if V is the representation associated to a suitable autromorphic form (a modular form in his case) and if V ′ is another
Fontaine JM.
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Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan [PDF]
Algebra & Number Theory, 2020 It is known that if $p>37$ is a prime number and $E/\mathbb{Q}$ is an elliptic curve without complex multiplication, then the image of the mod $p$ Galois representation $$ \bar{\rho}_{E,p}:\operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})\rightarrow ...
Samuel Le Fourn, P. Lemos
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GALOIS REPRESENTATIONS FOR EVEN GENERAL SPECIAL ORTHOGONAL GROUPS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2020 We prove the existence of $\mathrm {GSpin}_{2n}$ -valued Galois representations corresponding to cohomological cuspidal automorphic representations of certain quasi-split forms of ${\mathrm {GSO}}_{2n}$ under the local hypotheses that there is a ...
A. Kret, S. Shin
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Galois representations over pseudorigid spaces [PDF]
Journal de Théorie des Nombres de Bordeaux, 2020 We study $p$-adic Hodge theory for families of Galois representations over pseudorigid spaces. Such spaces are non-archimedean analytic spaces which may be of mixed characteristic, and which arise naturally in the study of eigenvarieties at the boundary ...
Rebecca Bellovin
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Forum of Mathematics, Sigma, 2020 There is an error in the statement and proof of [VAV17, Proposition 5.1] that affects the statements of [VAV17, Corollaries 5.2 and 5.3]. In this note, we correct the statement of [VAV17, Proposition 5.1] and explain how to rectify subsequent statements.
Anthony Várilly-Alvarado, Bianca Viray
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Galois representations attached to elliptic curves with complex multiplication [PDF]
Algebra & Number Theory, 2018 The goal of this article is to give an explicit classification of the possible $p$-adic Galois representations that are attached to elliptic curves $E$ with CM defined over $\mathbb{Q}(j(E))$.
'Alvaro Lozano-Robledo
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Large arboreal Galois representations [PDF]
Journal of Number Theory, 2018 Given a field $K$, a polynomial $f \in K[x]$, and a suitable element $t \in K$, the set of preimages of $t$ under the iterates $f^{\circ n}$ carries a natural structure of a $d$-ary tree. We study conditions under which the absolute Galois group of $K$ acts on the tree by the full group of automorphisms.
Borys Kadets
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Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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