Instituto de Física
The Standard Model of Particle Physics remains the most successful theory in science as a hole. As such its interpretation, derivation and inner workings are of fundamental importance. Non commutative geometry allows for a different point of view, giving central importance to Algebraic rather than Geometric information. In this talk the basic ideas of non commutative geometry and the fundamental results that bridge the gap to Quantum Field Theory are presented. These are applied in detail to Quantum Electro Dynamics and other theories, including the Standard model and beyond. Finally, the phenomenological aspects of the Standard Model are analyzed.