Pietro Vanni

collaborators

2 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.AG2024

The tempered disk and the tempered cohomology

Federico Bambozzi, Bruno Chiarellotto, Pietro Vanni

Let V be a complete discretely valued ring of mixed characteristic, with fraction field K and residue field k. Using the ind-Banach framework for derived analytic geometry, we view…

Multivariable p-adic Hodge theory for products of Galois groups

The tempered disk and the tempered cohomology

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