Results 81 to 90 of about 2,228 (208)

STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE

Forum of Mathematics, Pi, 2015
Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
doaj   +1 more source

F-zips with additional structure on splitting models of Shimura varieties

Forum of Mathematics, Sigma
We construct universal G-zips on good reductions of the Pappas-Rapoport splitting models for PEL-type Shimura varieties. We study the induced Ekedahl-Oort stratification, which sheds new light on the mod p geometry of splitting models.
Xu Shen, Yuqiang Zheng
doaj   +1 more source

Cohomological invariants of odd degree Jordan algebras [PDF]

, 2008
In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3.
MacDonald, Mark
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Explicit Galois representations

, 2017
This talk is about continuous representations of absolute Galois groups of number fields on finite Abelian groups. Typical sources of such representations include torsion subschemes of elliptic curves and Hecke eigenforms.
Bruin, Peter
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Galois representations and the tame inverse Galois problem [PDF]

, 2011
peer reviewedIn this paper we will focus on a variant of the Inverse Galois Problem over the rationals, emphasizing the progress made through the analysis of the Galois representations arising from arithmetic-geometric ...
ARIAS DE REYNA DOMINGUEZ, Sara, Vila, Núria   +1 more
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Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

This is the final version of this ...
Bhagwat, Chandrasheel, Jaiswal, Shubham
openaire   +2 more sources

Families of Galois representations—increasing the ramification

Duke Mathematical Journal, 1992
Let \(k\) be a finite field of characteristic \(l \neq 2\), let \(S\) be a finite set of primes and \(G_{\mathbb{Q},S}\) the maximal algebraic extension of \(\mathbb{Q}\) unramified outside \(S\). Following \textit{B. Mazur} [Compos. Math. 74, 115-133 (1990)] the author considers the lifting of representations \(\bar\rho: G_{\mathbb{Q},S} \to GL_ 2(k)\)
openaire   +2 more sources

On the Image of Automorphic Galois Representations

International Mathematics Research Notices
Abstract In this paper, we study extra-twists for automorphic representations of ${\textrm{GL}}_{n}$ and use them to give a precise description of the image of the Galois representations associated with regular algebraic cuspidal automorphic representations of ${\textrm{GL}}_{3}$ over totally real fields.
openaire   +2 more sources

Automorphic Galois representations and the inverse Galois problem

, 2013
A 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 of Galois representations satisfying some desired properties, e.g.
openaire   +4 more sources

Spin Representations of the q-Poincare Algebra [PDF]

, 2001
In der Quantenmechanik können freie Elementarteilchen durch irreduzible Darstellungen der Poincare-Algebra beschrieben werden. Im Rahmen der Darstellungtheorie der q-deformierten Poincaré-Algebra untersucht diese Arbeit den Spin von Teilchen auf einer ...
Blohmann, Christian
core