5 papers
Une conjecture pour la cohomologie à support compact
Pierre Colmez, Sally Gilles, WiesÅawa NizioÅ
Let be the ring of analytic functions on the Fargues-Fontaine curve . We show that adding -adic analogs of and kills its Galois coh…
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…
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.