A. Zenteno

activity

20192025

collaborators

3 papers

math.NT2025

The $θ$ -adics

T. M. Gendron, A. Zenteno

This paper introduces an archimedean, locally Cantor multi-field $O_{θ}$ which gives an analog of the $p$ -adic number field at a place at infinity of a real quadratic exten…

math.NT2020

On the images of certain $G_{2}$ -valued automorphic Galois representations

Adrian Zenteno

In this paper we study the images of certain families ${ρ_{π, ℓ}}_{ℓ}$ of $G_{2}$ -valued Galois representations of $\mbox{Gal}(\overline{F}/F)$ associated to $L$ -algebraic regu…

math.NT2019

Automorphic Galois representations and the inverse Galois problem for certain groups of type $D_{m}$

Adrian Zenteno

Let $m$ be an integer greater than three and $ℓ$ be an odd prime. In this paper, we prove that at least one of the following groups: $\mbox{P}Ω^\pm_{2m}(\mathbb{F}_{\ell^s})$, $…

The θ-adics

On the images of certain G2​-valued automorphic Galois representations

Automorphic Galois representations and the inverse Galois problem for certain groups of type Dm​

The $θ$ -adics

On the images of certain $G_{2}$ -valued automorphic Galois representations

Automorphic Galois representations and the inverse Galois problem for certain groups of type $D_{m}$