Berlin 2015 – scientific programme

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SYGP: Symposium Geometric Paradigms in Modern Physics

SYGP 1: Geometric paradigms in modern physics

SYGP 1.5: Invited Talk

Thursday, March 19, 2015, 17:00–17:30, H 0105

The (noncommutative) Geometry of the Standard Model of Particle Physics — •Christoph Stephan — Institut für Mathematik, Universität Potsdam, Potsdam, Deutschland

In the past two decades Connes' Noncommutative Geometry has allowed to gain deeper insights into the geometrical foundations that underly General Relativity as well as the Standard Model of Particle Physics. A fascinating aspect of the theory is the close link between abstract mathematical concepts and experimentally measurable quantities.

The aim of my talk is to provide a basic introduction into the geometrical ideas of Noncommutative Geometry (spectral triples, Dirac operators, spectral actions, etc.) and to give a physical interpretation of the geometrical objects. Furthermore I will show how the notions of Particle Physics (and General Relativity) can be formulated within the framework of Noncommutative Geometry.

The central role in this construction is played by Dirac operators. Using the Connes-Chamseddine Spectral Action one can extract from these Dirac operators measurable physical quantities, for example the mass of the Higgs boson.