2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127130These lecture notes describe the current state of affairs for Manin's conjecture in the context of del Pezzo surfaces.57 pages. These are a preliminary version of lecture notes for the "School and conference on analytic number theory", ICTP, Trieste, 23/04/07-11/05/07Number TheoryAlgebraic Geometry11G35; 14G05, 14G10The Manin conjecture in dimension 2text