2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78171We prove the Carlson-Toledo conjecture (for all Kahler groups which do not have property T of Kazhdan).We deduce a conjecture of Goldman-Donaldson for all 3-manifold groups which are rich in the sense of [Re2].plain TEXDifferential Geometrytext