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Displaying 41 – 60 of 142

Finiteness Theorems for Deformations of Complexes

Frauke M. Bleher, Ted Chinburg (2013)

Annales de l’institut Fourier

We consider deformations of bounded complexes of modules for a profinite group $G$ over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be represented by a complex of $G$ -modules that is strictly perfect over the associated versal deformation ring.

Formes compagnons et complexe BGG dual pour $G S p_{4}$

J. Tilouine (2012)

Annales de l’institut Fourier

On montre, sous certaines hypothèses un résultat en direction de la conjecture de Serre pour $G S p_{4}$ formulée dans un autre article avec F. Herzig : si la représentation résiduelle associée à une forme de Siegel de genre $2$ , de niveau premier à $p$ , $p$ -ordinaire de poids $p$ -petit, laisse stables deux droites (au lieu d’une) dans un plan lagrangien, alors cette forme possède une forme compagnon de poids prescrit. Notre méthode consiste à traduire, grâce au théorème de comparaison mod. $p$ de Faltings, l’existence...

Formes non tempérées pour $U (3)$ et conjectures de Bloch–Kato

Joël Bellaïche, Gaëtan Chenevier (2004)

Annales scientifiques de l'École Normale Supérieure

From the Taniyama-Shimura conjecture to Fermat's last theorem

Kenneth A. Ribet (1990)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Functoriality and the Inverse Galois problem II: groups of type $B_{n}$ and $G_{2}$

Chandrashekhar Khare, Michael Larsen, Gordan Savin (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

This paper contains an application of Langlands’ functoriality principle to the following classical problem: which finite groups, in particular which simple groups appear as Galois groups over $ℚ$ ? Let $ℓ$ be a prime and $t$ a positive integer. We show that that the finite simple groups of Lie type $B_{n} (ℓ^{k}) = 3 D S O_{2 n + 1} {(𝔽_{ℓ^{k}})}^{d e r}$ if $ℓ \equiv 3, 5 (mod 8)$ and $G_{2} (ℓ^{k})$ appear as Galois groups over $ℚ$ , for some $k$ divisible by $t$ . In particular, for each of the two Lie types and fixed $ℓ$ we construct infinitely many Galois groups but we do not have a precise control...

Galois representations

Richard Taylor (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Galois representations, embedding problems and modular forms.

Teresa Crespo (1997)

Collectanea Mathematica

To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations...

Galois representations, Hecke operators, and the $mod- p$ cohomology of $GL (3, ℤ)$ with twisted coefficients.

Allison, Gerald, Ash, Avner, Conrad, Eric (1998)

Experimental Mathematics

Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms.

H. Hida (1986)

Inventiones mathematicae

Galois representations modulo p and cohomology of Hilbert modular varieties

Mladen Dimitrov (2005)

Annales scientifiques de l'École Normale Supérieure

Galois representations of dihedral type over ℚₚ

Peder Frederiksen, Ian Kiming (2004)

Acta Arithmetica

Global quadratic units and Hecke algebras.

Hida, Haruzo (1998)

Documenta Mathematica

Growth of Selmer groups of Hilbert modular forms over ring class fields

Jan Nekovář (2008)

Annales scientifiques de l'École Normale Supérieure

We prove non-trivial lower bounds for the growth of ranks of Selmer groups of Hilbert modular forms over ring class fields and over certain Kummer extensions, by establishing first a suitable parity result.

Higher congruence companion forms

Rajender Adibhatla, Jayanta Manoharmayum (2012)

Acta Arithmetica

Hodge-Tate and de Rham representations in the imperfect residue field case

Kazuma Morita (2010)

Annales scientifiques de l'École Normale Supérieure

Let $K$ be a $p$ -adic local field with residue field $k$ such that $[k : k^{p}] = p^{e} < + \infty$ and $V$ be a $p$ -adic representation of $Gal (\bar{K} / K)$ . Then, by using the theory of $p$ -adic differential modules, we show that $V$ is a Hodge-Tate (resp. de Rham) representation of $Gal (\bar{K} / K)$ if and only if $V$ is a Hodge-Tate (resp. de Rham) representation of $Gal (\bar{K^{pf}} / K^{pf})$ where $K^{pf} / K$ is a certain $p$ -adic local field with residue field the smallest perfect field $k^{pf}$ containing $k$ .

Höhere Reziprozitätsgesetze und Modulformen vom Gewicht Eins.

Jannis A. Antoniadis (1985)

Journal für die reine und angewandte Mathematik

Inductivity of the global root number

David E. Rohrlich (2013)

Acta Arithmetica

Under suitable hypotheses, we verify that the global root number of a motivic L-function is inductive (invariant under induction).

Currently displaying 41 – 60 of 142

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Displaying 41 – 60 of 142

Finiteness Theorems for Deformations of Complexes

Formes compagnons et complexe BGG dual pour $G S p_{4}$

Formes non tempérées pour $U (3)$ et conjectures de Bloch–Kato

From the Taniyama-Shimura conjecture to Fermat's last theorem

Functoriality and the Inverse Galois problem II: groups of type $B_{n}$ and $G_{2}$

Galois representations

Galois representations, embedding problems and modular forms.

Galois representations, Hecke operators, and the $mod- p$ cohomology of $GL (3, ℤ)$ with twisted coefficients.

Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms.

Galois representations modulo p and cohomology of Hilbert modular varieties

Galois representations of dihedral type over ℚₚ

Global quadratic units and Hecke algebras.

Growth of Selmer groups of Hilbert modular forms over ring class fields

Higher congruence companion forms

Hodge-Tate and de Rham representations in the imperfect residue field case

Höhere Reziprozitätsgesetze und Modulformen vom Gewicht Eins.

Inductivity of the global root number

Infinitely ramified Galois representations.

Integral $G$ -structures of Wach modules. ( $G$ -structures entières et modules de Wach.)

Invariant $L$ et série spéciale p-adique

Currently displaying 41 – 60 of 142