Speaker: Boris Bychkov (University of Haifa)

Date and time:  1.03.2023, 17:00 (GMT +03:00)

Title: Topological recursion for generalized double Hurwitz numbers

Abstract: Topological recursion is a remarkable universal recursive procedure that has been found in many enumerative geometry problems, from combinatorics of maps, to random matrices, Gromov-Witten invariants, Hurwitz numbers, Mirzakhani’s hyperbolic volumes of moduli spaces, knot polynomials. A recursion needs an initial data: a spectral curve, and the recursion defines the sequence of invariants of that spectral curve. 

In the talk I will define the topological recursion, spectral curves and their invariants; I will describe our results on explicit closed algebraic formulas for generating functions of generalized double Hurwitz numbers, and how this allows to prove topological recursion for a wide class of problems.

If time permits I'll talk about the implications for the so-called ELSV-type formulas (relating Hurwitz-type numbers to intersection numbers on the moduli spaces of algebraic curves).

The talk is based on the series of joint works with P. Dunin-Barkowski, M. Kazarian and S. Shadrin.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com