Pierre Colmez

activity

20242026

collaborators

5 papers

math.AG2026

Topological Vector Spaces

Pierre Colmez, WiesÅawa NizioÅ

Motivated by applications to duality theorems for $p$ -adic pro-Ã©tale cohomology of rigid analytic spaces, we study the category of Topological Vector Spaces in the setting of cond…

math.AG2026

Hodge Theory of $p$ -adic analytic varieties: a survey

Pierre Colmez, WiesÅawa NizioÅ, Wiesława Nizioł

Hodge Theory of $p$ -adic analytic varieties was initiated by Tate in his 1967 paper on $p$ -divisible groups, where he conjectured the existence of a Hodge-like decomposition for th…

math.AG2025

Duality for $p$ -adic geometric pro-Ã©tale cohomology

Pierre Colmez, Sally Gilles, WiesÅawa NizioÅ

We prove that $p$ -adic geometric pro-Ã©tale cohomology of smooth partially proper rigid analytic varieties over $p$ -adic fields seen in the category of Topological Vector Spaces sa…

math.NT2025

On the geometrization of the $p$ -adic local Langlands correspondence

Pierre Colmez, Gabriel Dospinescu, WiesÅawa NizioÅ

We survey results related to our geometrization of a part of the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$ .

math.AG2024

On the cohomology of p-adic analytic spaces, II: The $C_{st}$ -conjecture

Pierre Colmez, WiesÅawa NizioÅ

Long ago, Fontaine formulated conjectures (now theorems) relating Ã©tale and de Rham cohomologies of algebraic varieties over $p$ -adic fields. In an earlier work we have shown that…

Topological Vector Spaces

Hodge Theory of p-adic analytic varieties: a survey

Duality for p-adic geometric pro-Ã©tale cohomology

On the geometrization of the p-adic local Langlands correspondence

On the cohomology of p-adic analytic spaces, II: The Cst​-conjecture

Hodge Theory of $p$ -adic analytic varieties: a survey

Duality for $p$ -adic geometric pro-Ã©tale cohomology

On the geometrization of the $p$ -adic local Langlands correspondence

On the cohomology of p-adic analytic spaces, II: The $C_{st}$ -conjecture