2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217218We give a new geometric proof of a conjecture of Fulton on the Littlewood-Richardson coefficients. This conjecture was firstly proved by Knutson, Tao and Woodward using the Honeycomb theory. A geometric proof was given by Belkale. Our proof is based on the geometry of Horn's cones.Algebraic GeometryRepresentation Theorytext