### An introduction to topological recursion

Ergodic Theory and Dynamical Systems Seminar

6th April 2023, 2:00 pm – 3:00 pm

Fry Building, G.07

Asymptotic expansions in random matrix theory, enumeration of ribbon graphs, Weil-Petersson volumes of the moduli of hyperbolic surfaces, Masur-Veech volumes for the moduli of quadratic differentials on a surface... can be computed with a universal recursion (on the order of asymptotic expansion, random matrix theory, on the topology of the surfaces in enumerative geometry), called topological recursion. I give a brief introduction to the topic, with emphasis on examples, and explain geometric principles that (sometimes) explain why topological recursion appears.

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