2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154596Let X be the wonderful compactification of a connected adjoint semisimple group G defined over a number field K. We prove Manin's conjecture on the asymptotic (as T\to \infty) of the number of K-rational points of X of height less than T, and give an explicit construction of a measure on X(A), generalizing Peyre's measure, which describes the asymptotic distribution of the rational points G(K) on X(A). Our approach is based on the mixing property of L^2(G(K)\G(A)) which we obtain with a rate of convergence.to appear in Ann. Sci. Ecole Norm. SupNumber TheoryRepresentation Theory11D45; 11G50; 11F70; 14G25; 22E55text