Pierre Colmez

activity

20132026

most citedThe p-adic local Langlands correspondence for GL_2(Q_p)

13 citations · 20 across the 11 of their papers we have counts for

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math.NT2024

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

Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł

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

math.NT2023

Arithmetic duality for $p$ -adic pro-étale cohomology of analytic curves

Pierre Colmez, Sally Gilles, Wiesława Nizioł

We prove a Poincaré duality for arithmetic $p$ -adic pro-étale cohomology of smooth dagger curves over finite extensions of $Q_{p}$ . We deduce it, via the Hochschild-Serre s…

math.NT2021

On the cohomology of $p$ -adic analytic spaces, I: The basic comparison theorem

Pierre Colmez, Wiesława Nizioł

The purpose of this paper is to prove a basic $p$ -adic comparison theorem for smooth rigid analytic and dagger varieties over the algebraic closure $C$ of a $p$ -adic field: $p$ -adi…

math.NT2020★ 1 cited

p-adic etale cohomology of period domains

Pierre Colmez, Gabriel Dospinescu, Julien Hauseux +1

We compute the p-torsion and p-adic etale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups. F…

math.NT2018

Cohomology of $p$ -adic Stein spaces

Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol

We compute the $p$ -adic étale and the pro-étale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the $p$ -adic pro-étale coho…

math.NT2015

Syntomic complexes and p-adic nearby cycles

Pierre Colmez, Wieslawa Niziol

We compute syntomic cohomology of semistable affinoids in terms of cohomology of $(φ, Γ)$ -modules which, thanks to work of Fontaine-Herr, Andreatta-Iovita, and Kedlaya-Liu, is known…

math.NT2013★ 13 cited

The p-adic local Langlands correspondence for GL_2(Q_p)

Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas

The p-adic local Langlands correspondence for GL_2(Q_p) is given by an exact functor from unitary Banach representations of GL_2(Q_p) to representations of the absolute Galois grou…

math.NT2013

Irreducible components of deformation spaces: wild 2-adic exercises

Pierre Colmez, Gabriel Dospinescu, Vytautas Paskunas

We prove that the irreducible components of the space of framed deformations of the trivial 2-dimensional mod 2 representation of the absolute Galois group of Q_2 are in natural bi…

On the geometrization of the p-adic local Langlands correspondence

Arithmetic duality for p-adic pro-étale cohomology of analytic curves

On the cohomology of p-adic analytic spaces, I: The basic comparison theorem