Delay Painleve-I equation and Masur-Veech volumes

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.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.