24 citations · 29 across the 12 of their papers we have counts for
13 papers
Une conjecture pour la cohomologie à support compact
Pierre Colmez, Sally Gilles, Wiesława Nizioł
Let be the ring of analytic functions on the Fargues-Fontaine curve . We shaw that, by adding sufficiently iterated periods, one can kill its Galois cohomo…
Théorie locale du corps de classes et -modules Lubin-Tate
Pierre Colmez
We show how to deduce the determination of the maximal abelian extension of , with , from the theory of Lubin-Tate -modules.
Une caractérisation de et
Pierre Colmez
We show that is the universal thickening of . More generally, we show that, if is a reduced affinoid algebra, $\mathcal{O}\mathbb{B…
La formule limite de Kronecker
Pierre Colmez
We make some remarks about the relation between the Kronecker limit formula for totally real fields, (normalized) periods of CM abelian varieties, and units in abelian extensions o…
La méthode de Shintani et ses variantes
Pierre Colmez
We give several versions of Shintani's method for the decomposition into simplicial cones of the fundamental domain of a torus modulo a lattice, and we investigate some application…
Exercices adéliques
Pierre Colmez
We study the cohomology of the group of rational points of a linear algebraic group on adelic functional spaces, and we explore the relation with Emerton's completed cohomology.
Correspondance de Langlands locale -adique et anneaux de Kisin
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We use a -adic completion and the -adic local Langlands correspondence for to give a construction of Kisin's rings and the attac…
Factorization de la cohomologie étale p-adique de la tour de Drinfeld
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
For a finite extension of , Drinfeld defined a tower of coverings of (the Drinfeld half-plane). For …
Une factorisation de la cohomologie complétée et du système de Beilinson-Kato
Pierre Colmez, Shanwen Wang
We show that the modular symbol , considered as an element of the dual of Emerton's completed cohomology, interpolates Kato's Euler system at classical points, and we d…
Cohomologie des courbes analytiques -adiques
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
Cohomology of affinoids does not behave well; often, this can be remedied by making affinoids overconvergent. In this paper, we focus on dimension 1 and compute, using analogs of p…
Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
We compute the p-adic geometric étale cohomology of the coverings of Drinfeld's half-plane, and we show that, if the base field is Q_p, this cohomology encodes the p-adic local Lan…
Théorie de Sen et vecteurs localement analytiques
Laurent Berger, Pierre Colmez
We generalize Sen theory to extensions whose Galois group is a -adic Lie group of arbitrary dimension. To do so, we replace Sen's space of -finite vectors by Sch…
Complétés universels de représentations de GL_2(Q_p)
Pierre Colmez, Gabriel Dospinescu
Let Pi be a unitary representation of GL_2(Q_p), topologically of finite length. We describe the sub-representation Pi^{an} made of its locally analytic vectors, and its filtration…