Matrix integrals, graphs on surfaces and mapping class groups

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• Doron Puder, Tel Aviv
• Wednesday 10 October 2018, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

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 the group U(n) of Unitary matrices. The group structure of these matrices allows us to go further and find surprising algebraic quantities hidden in the values of these integrals. The talk will be aimed at a wide audience, and all notions will be explained. Based on joint work with Michael Magee (Durham).

This talk is part of the Differential Geometry and Topology Seminar series.

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