Léo Poyeton

activity

20202025

collaborators

6 papers

math.NT2025

Multivariable $p$ -adic Hodge theory for products of Galois groups

Léo Poyeton, Pietro Vanni

In this paper we explain how to attach to a family of $p$ -adic representations of a product of Galois groups an overconvergent family of multivariable $(φ, Γ)$ -modules, generalizing…

math.NT2024

Locally analytic vectors and $Z_{p}$ -extensions

Léo Poyeton

Let $K$ be a finite extension of $Q_{p}$ and let $G_{K} = Gal (Q_{p} / K)$ . Lately, interest has risen around a generalization of the theory…

math.NT2023

A criterion for Lubin's conjecture

Léo Poyeton

We prove that a formulation of a conjecture of Lubin regarding two power series commuting for the composition is equivalent to a criterion of checking that some extensions generate…

math.NT2022

Locally analytic vectors and rings of periods

Léo Poyeton

In this paper, we try to extend Berger's and Colmez's point of view, using locally analytic vectors in order to generalize classical cyclotomic theory, in higher rings of periods.…

math.NT2021

Families of Galois representations and $(φ, τ)$ -modules

Aditya Karnataki, Léo Poyeton

Let $p$ be a prime, and let $K$ be a finite extension of $Q_{p}$ , with absolute Galois group $G_{K}$ . Let $π$ be a uniformizer of $K$ and let $K_{\infty}$ be the Kummer ex…

math.NT2020

F-analytic B-pairs

Léo Poyeton

In this note, we define the notion of $F$ -analytic $B$ -pairs and we prove that its category is equivalent to the one of $F$ -analytic $(φ_{q}, Γ_{K})$ -modules.

Multivariable p-adic Hodge theory for products of Galois groups

Locally analytic vectors and Zp​-extensions

A criterion for Lubin's conjecture

Locally analytic vectors and rings of periods

Families of Galois representations and (φ,τ)-modules

F-analytic B-pairs

Multivariable $p$ -adic Hodge theory for products of Galois groups

Locally analytic vectors and $Z_{p}$ -extensions

Families of Galois representations and $(φ, τ)$ -modules