2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161168This is a introductory survey of some recent developments of "Galois ideas" in Arithmetic, Complex Analysis, Transcendental Number Theory and Quantum Field Theory, and of some of their interrelations.General MathematicsNumber Theory11J81, 11R32, 11S20, 14H30, 14H81, 32S40, 34M15, 34M35, 34M37, 81T99text