题目：The Length of Different Types of Closed Geodesics on Weil-Petersson Random Hyperbolic Surfaces

报告人：薛宇皓 博士 （IHES）

地点：致远楼101室

时间：2026年1月8日 10:30-11:30

摘要: 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.

All are welcome!