2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120495The seven non euclidean geometries of the Thurston's geometrization program are proved to originate naturally from singularization morphisms and versal deformations on euclidean 3-manifolds generated in the frame of the Langlands global program. The Poincare conjecture for a 3-manifold appears as a particular case of this new approach of the Thurston'program.27 pagesRepresentation TheoryGeometric Topology11F70,11R39,22E55,51H20text