Matrix Group Integrals, Surfaces, and Mapping Class Groups

Vortrag von Dr. Doron Puder

Datum: 16.10.19  Zeit: 15.45 - 16.45  Raum: ETH HG G 43

Since the 1970's, Physicists and Mathematicians who study random matrices in the standard models of GUE or GOE, are aware of intriguing connections between integrals of such random matrices and enumeration of graphs on surfaces. We establish a new aspect of this theory: for random matrices sampled from classical matrix groups such as U(n) or O(n). The group structure of these matrices allows us to go further and find surprising algebraic quantities hidden in the values of these integrals. Based on joint work with Michael Magee (Durham).