2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67187This paper is based on my talk at ICM on recent progress in a number of classical problems of linear algebra and representation theory, based on new approach, originated from geometry of stable bundles and geometric invariant theory.Representation Theory14F05, 14M15, 14M17, 14M25, 15A42text