Léo Poyeton

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20232025

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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…

Multivariable p-adic Hodge theory for products of Galois groups

Locally analytic vectors and Zp​-extensions

A criterion for Lubin's conjecture

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

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