Cohomologie galoisienne transcendantale

Optimisation du théorème d’Ax-Sen-Tate et application à un calcul de cohomologie galoisienne p-adique

Cohomologie L des variétés QALE

Extensions galoisiennes non commutatives : Normalité, Cohomologie non abélienne

Translation of Dualité Dans La Cohomologie Des Espaces Localement Compacts

We propose to prove a theorem analogues to the duality theorem on the étale cohomology of schemes proved by Grothendieck ([SGA72a, SGA72b, SGA73] and [Ver67]). This theorem generalize the classical theorem of Poincaré duality on topological spaces and more generally homological and cohomological varieties ([Bor57] and [BM60]). We will utilize hypercohomology as well as derived categories of abe...

Sur la L−cohomologie des variétés à courbure négative

We give a topological interpretation of the space of L-harmonic forms of finite-volume manifolds with sufficiently pinched negative curvature. We give examples showing that this interpretation fails if the curvature is not sufficiently pinched. The method used applies to other situations, e.g. asymptotically complex hyperbolic manifolds, or harmonic forms with weights. Résumé Nous donnons une i...