3 papers
math.NT2025
Multivariable -adic Hodge theory for products of Galois groups
Léo Poyeton, Pietro Vanni
In this paper we explain how to attach to a family of -adic representations of a product of Galois groups an overconvergent family of multivariable -modules, generalizing…
math.NT2024
Locally analytic vectors and -extensions
Léo Poyeton
Let be a finite extension of and let . 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…