Delay Painleve-I equation and Masur-Veech volumes
Organizers
Speaker
Alexander Veselov
Time
Tuesday, May 21, 2024 5:20 PM - 6:20 PM
Venue
A6-101
Online
Zoom 873 9209 0711
(BIMSA)
Abstract
The subject of the talk is the delay version of the Painleve-I equation obtained as a delay periodic reduction of Shabat's dressing chain. We study the formal entire solutions to this equation and introduce a new family of interesting polynomials (called Bernoulli-Catalan polynomials). Using the recent results by Di Yang, Don Zagier and Youjin Zhang, we apply the theory of these polynomials to the problem of calculation of the Masur-Veech volumes of the moduli spaces of meromorphic quadratic differentials. The talk is based on a joint work with John Gibbons and Alex Stokes.