中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

多复变与复几何研究中心

Speaker: 薛宇皓 法国高等科学研究所 (IHES)

Inviter: 刘劲松

Language: English

Title：The length of different types of closed geodesics on Weil-Petersson random hyperbolic surfaces

Time&Venue：2025年10月23日10 :00 – 11:00 南楼N913

Abstract: The Weil-Petersson metric on the moduli space of genus g hyperbolic surfaces is of finite volume, and hence induce a probability measure and a model of random surfaces. In this talk, we will discuss about the behavior of several different types of closed geodesics on Weil-Petersson random hyperbolic surfaces, and see in which length window they should exist . In particularly, we will show the length of separating systole and non-simple systole on Weil-Petersson random hyperbolic surfaces. This talk is based on a series of joint works with Yuxin He, Xin Nie, Yang Shen and Yunhui Wu.