报告题目：Prime geodesic theorem and closed geodesics for large genus

报告时间：2024.09.13   14:00-14:50

报  告 人 ：吴云辉   教授   清华大学

报告地点：理学院东北楼四楼报告厅（404）

Abstract：In this work, we study the Prime Geodesic Theorem for random hyperbolic surfaces. As an application, we show that as the genus g goes to infinity, on a generic hyperbolic surface in the moduli space of Riemann surfaces of genus g, most closed geodesics of length significantly less than √g are simple and non-separating, and most closed geodesics of length significantly greater than √g are non-simple, confirming a conjecture of Lipnowski-Wright. This is a joint work with Yuhao Xue.