Volumes des représentations sur un corps local

Abstract

Let Γ be a locally compact second countable group, F a local field of characteristic zero and G an F-almost-simple F-algebraic group. In this paper we study the space X(Γ,G) of Zariski-dense representations ρ : Γ → G = G(F) using the natural morphism of cohomological functors ρ* : H*(G, ·) → H*(Γ, ·) (where H denotes the continuous cohomology).