3 papers
math.NT2026
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.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, generalizi…
math.NT2024
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.…