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Annales de la Faculté des sciences de Toulouse : Mathématiques, 2004 In the first part of this paper we try to explain to a general mathematical audience some of the remarkable web of conjectures linking representations of Galois groups with algebraic geometry, complex analysis and discrete subgroups of Lie groups. In the second part we briefly review some limited recent progress on these conjectures.
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Galois Representations of Abelian Varieties
, 2022 The main topic of this thesis is Galois representations of abelian varieties. Following the introduction, there are four largely independent chapters that each make progress around the main topic.
Jacob Joseph Mayle (14073822)
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Galois structure of Zariski cohomology for weakly ramified covers of curves
, 2004 We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
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Automorphic Galois representations and the inverse Galois problem [PDF]
, 2015 peer reviewedA strategy to address the inverse Galois problem over Q consists of exploiting the knowledge of Galois representations attached to certain automorphic forms. More precisely, if such forms are carefully chosen, they provide compatible systems
ARIAS DE REYNA DOMINGUEZ, Sara
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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Forum of Mathematics, Sigma, 2016 We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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Global Solvably Closed Anabelian Geometry
, 2006 In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of “solvably closed extensions” of number fields — i.e., infinite extensions of number fields which have ...
Mochizuki, Shinichi
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Redesigning the Serpent Algorithm by PA-Loop and Its Image Encryption Application
IEEE Access, 2023 This article presents a cryptographic encryption standard whose model is based on Serpent presented by Eli Biham, Ross Anderson, and Lars Knudsen. The modification lies in the design of the Cipher, we have used power associative (PA) loop and group of ...
Sadam Hussain +4 more
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Galois cohomology and Galois representations
Inventiones Mathematicae, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DISPLAYED EQUATIONS FOR GALOIS REPRESENTATIONS [PDF]
Nagoya Mathematical Journal, 2018 The Galois representation associated to a$p$-divisible group over a normal complete noetherian local ring with perfect residue field is described in terms of its Dieudonné display. As a consequence, the Kisin module associated to a commutative finite flat$p$-group scheme via Dieudonné displays is related to its Galois representation in the expected way.
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, 2019 Given a Galois cover of curves over F_p , we relate the p-adic valuation of epsilon constants appearing in functional equations of ArtinL-functions to an equivariant Euler characteristic.
Köck, Bernhard +3 more
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