Topological recursion for Bousquet-Melou--Schaeffer numbers
- Date: Friday 3 May 2019, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Seminars, Applied Mathematics, Integrable Systems
- Cost: Free
Boris Bychkov, National Research University Higher School of Economics, Moscow
Topological recursion of Eynard and Orantin is a recurrent procedure allows one to compute components of various families of power series which are coming from Gromov-Witten invariants, statistical physics and matrix models.
In this talk we will focus on the first example of generalized topological recursion (Bouchard and others). Bousquet-Melou--Schaeffer numbers is a variation of simple Hurwitz numbers: quantities of decompositions of a fixed permutation into the product of m arbitrary permutations with fixed total quantity of cycles. We prove the quasi-polynomiality property of Bousquet-Melou--Schaeffer numbers which is the first step in the prove of topological recursion.
This is the joint work with P. Dunin-Barkowski and S. Shadrin.