2 citations · 4 across the 10 of their papers we have counts for
9 papers · 1 filter
The -adics
T. M. Gendron, A. Zenteno
This paper introduces an archimedean, locally Cantor multi-field which gives an analog of the -adic number field at a place at infinity of a real quadratic exten…
Galois representations with large image in the global Langlands correspondence
Adrian Zenteno
The global Langlands conjecture for over a number field predicts a correspondence between certain algebraic automorphic representations of $\text{GL}_n(\mathb…
Bianchi and Hilbert-Blumenthal quaternionic orbifolds
Alberto Verjovsky, Adrian Zenteno
In a series of papers, published in Mathematische Annalen, Bianchi and Blumenthal introduced the notions of Bianchi orbifolds and Hilbert-Blumnethal surfaces as generalizations of…
On the images of certain -valued automorphic Galois representations
Adrian Zenteno
In this paper we study the images of certain families of -valued Galois representations of $\mbox{Gal}(\overline{F}/F)$ associated to -algebraic regu…
Automorphic Galois representations and the inverse Galois problem for certain groups of type
Adrian Zenteno
Let be an integer greater than three and be an odd prime. In this paper, we prove that at least one of the following groups: $\mbox{P}Ω^\pm_{2m}(\mathbb{F}_{\ell^s})$, $…
Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups
Adrian Zenteno
In this paper we prove that for each integer of the form (where is a prime between and ) at least one of the following groups: $PΩ^+_n(\mathbb{F}_{\el…
On the images of the Galois representations attached to certain RAESDC automorphic representations of $\mbox{GL}_n(\mathbb{A}_{\mathbb{Q}})$
Adrian Zenteno
In the 80's Aschbacher classified the maximal subgroups of almost all of the finite almost simple classical groups. Essentially, this classification divide these subgroups into two…
On the images of the Galois representations attached to generic automorphic representations of GSp(4)
Luis Dieulefait, Adrian Zenteno
By making use of Langlands functoriality between GSp(4) and GL(4), we show that the images of the Galois representations attached to "genuine" globally generic automorphic represen…
Constructing Hilbert modular forms whithout exceptional primes
Luis Dieulefait, Adrian Zenteno
In this paper we construct families of Hilbert modular newforms without exceptional primes. This is achieved by generalizing the notion of good-dihedral primes, introduced by Khare…