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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Hurwitz numbers in geometry and physics.

Presented by Sergey Shadrin, University of Amsterdam & Isaac Newton Institute

31 January 2013 13:00 in CM221

Hurwitz numbers enumerate ramified coverings of the 2-sphere of a fixed topological type. Amazingly, the same numbers occur in many different contexts, in particular, they are related to geometry of the moduli spaces of curves via so-called ELSV formula. I am going to make a short overview of different interpretations of Hurwitz numbers and methods of computation. I'll explain their relation to the moduli
spaces of curves, and another relation to the random matrix models (in fact, I'll use a mathematical replacement for the random matrix theory given by topological recursion for some multi-differentials on Riemann surfaces. The latter one I'll explain from the very beginning).

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