U. Haifa Algebra seminar: Wednesday, November 23, 2022. Speaker: Boris Bychkov (University of Haifa). Title: “Topological recursion for generalized double Hurwitz numbers”.

Date:            Wednesday, November 23, 2022 at 12:00 PM 

Place:           Room 614, Science & Education Building, U. Haifa

Speaker:    Boris Bychkov (University of Haifa)

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, and illustrate it with examples; I will introduce the Fock space formalism which proved to be very efficient for computing TR-invariants for the various classes of Hurwitz type problems and I will state recent results on the duality of «mixed» TR-invariants and the new recursion on the mixed invariants. The talk is based on the series of joint works with P. Dunin-Barkowski, M. Kazarian and S. Shadrin.

P.S. Here is a zoom link for those who want to attend by zoom and have no chance to come in person:

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Meeting ID: 868 1304 4737