Symmetries and their anomalies constitute powerful analytical tools to tackle strongly coupled field theories. It is now well-known that Fermionic anomalies are given in terms of the eta invariant of the Dirac operator and are classified by cobordism groups. I will spend much of the talk outlining this modern conception of anomalies in terms of cobordism classification. I will then use the functor property of cobordism to find anomalies of certain non-Abelian finite groups that are used to solve flavour hierarchies, neutrino mass and mixing data, etc., in flavour physics. More specifically, I will explain how we used anomaly interplay to relate the anomalies in these non-abelian finite groups to known anomalies in abelian finite groups.

Host: Erich Poppitz