Results 21 to 30 of about 282 (181)
Forum of Mathematics, Sigma, 2014 We extend the modularity lifting result of P. Kassaei (‘Modularity lifting in parallel weight one’,J. Amer. Math. Soc. 26 (1) (2013), 199–225) to allow Galois representations with some ramification at
PAYMAN L. KASSAEI +2 more
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A characterization of the relation between two $\ell $-modular correspondences
Comptes Rendus. Mathématique, 2020 Let $F$ be a non archimedean local field of residual characteristic $p$ and $\ell $ a prime number different from $p$. Let $\mathrm{V}$ denote Vignéras’ $\ell $-modular local Langlands correspondence [7], between irreducible $\ell $-modular ...
Kurinczuk, Robert, Matringe, Nadir
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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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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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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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Modularity of trianguline Galois representations
Forum of Mathematics, SigmaWe 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
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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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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Classification of Subgroups of Symplectic Groups Over Finite Fields Containing a Transvection
Demonstratio Mathematica, 2016 In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpn(F̅ℓ) containing a nontrivial transvection for ℓ ≥ 5, which can be derived from work of Kantor: G is either reducible ...
Arias-de-Reyna S. +2 more
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