Results 1 to 10 of about 2,228 (208)
Black Box Galois representations [PDF]
Journal of Algebra, 2018 40 pages, 3 figures.
Alejandro Argáez-García, J E Cremona
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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
doaj +4 more sources
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.
europepmc +5 more sources
Cohomology of moduli spaces via a result of Chenevier and Lannes [PDF]
Épijournal de Géométrie Algébrique, 2023 We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with $\ell$-adic absolute Galois representations to determine the Euler characteristics (with values in the ...
Jonas Bergström, Carel Faber
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Seven Small Simple Groups Not Previously Known to Be Galois Over
Mathematics, 2022 In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait +2 more
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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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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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Galois Representations and Galois Groups Over ℚ [PDF]
, 2015 Minor changes. 13 pages. This paper contains results of the collaboration started at the conference Women in numbers - Europe, (October 2013), by the working group "Galois representations and Galois groups over Q"
Arias de Reyna Domínguez, Sara +9 more
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EULER SYSTEMS FOR HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2018 We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI +2 more
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Modularity of Galois representations [PDF]
Journal de théorie des nombres de Bordeaux, 2003 This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, p -adic Galois representations associated to holomorphic Hilbert ...
openaire +2 more sources