题目: Delay Painleve-I equation and Masur-Veech volumes

报告人：A.P. Veselov (Loughborough, UK)

时间：2024年5月14日下午14:30-16:00

地点：管理科研楼1418教室

摘要: The subject of the talk is the delay version of the Painleve-I equation obtained as certain 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.