2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107372These notes outline some basic notions of Tropical Geometry and survey some of its applications for problems in classical (real and complex) geometry. To appear in the Proceedings of the Madrid ICM.22 pages, 9 figures, version 2 incorporates corrections in the page proofsAlgebraic Geometrytext