Results 11 to 20 of about 2,228 (208)
Certification of modular Galois representations [PDF]
Mathematics of Computation, 2017 We show how the output of the algorithm to compute modular Galois representations previously described by the author [Rend. Circ. Mat. Palermo (2) 62 (2013), no. 3, 451–476] can be certified. We have used this process to compute certified tables of such Galois representations obtained thanks to an improved version of this algorithm,
Mascot, Nicolas
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Galois representations and tame Galois realizations [PDF]
, 2009 The background of this dissertation is the inverse Galois problem.Which finite groups can occur as Galois groups of an extension of the rational field? This problem was first considered by D. Hilbert, and it still remains open.Assume that a finite group G can be realized as a Galois group over Q. We can ask whether there exists some other finite Galois
Arias de Reyna Domínguez, Sara
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Factor equivalence of Galois modules and regulator constants [PDF]
, 2013 We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their ...
Bartel, Alex, Alex Bartel
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Enumerating Galois Representations in Sage [PDF]
, 2010 4 pages, short communication for the Third International Congress on Mathematical Software (2010)
Craig Citro, Alexandru Ghitza
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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 +2 more
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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On ℓ-adic representations for a space of noncongruence cuspforms [PDF]
, 2012 This paper is concerned with a compatible family of 4-dimensional ℓ-adic representations ρℓ of GQ := Gal(Q/Q) attached to the space of weight-3 cuspforms S3(Γ) on a noncongruence subgroup Γ ⊂ SL2(Z). For this representation we prove that: 1.
Hoffman, Jerome William +5 more
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Local Galois representations of Swan conductor one
, 2023 We construct the local Galois representations over the complex field whose Swan conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over finite fields.
Imai, Naoki, Tsushima, Takahiro
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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
Forum of Mathematics, Sigma, 2019 Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
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Level-Raising for GSp(4) [PDF]
, 2006 This thesis provides congruences between unstable and stable automorphic forms for the symplectic similitude group $GSp(4)$. More precisely, we raise the level of certain CAP representations $Pi$ of Saito-Kurokawa type, arising from classical modular ...
Sorensen, Claus Mazanti
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