Separating systole for random hyperbolic surfaces of Weil-Petersson model

Time：Tue. 13:30 - 14:30, 2022-11-15

Venue：Jinchunyuan West Building, Conference Room Zoom Meeting ID: 405 416 0815 Passcode: 111111 3 （middle floor)

Organizer：陈伟彦、高鸿灏、黄意、林剑锋、江怡

Speaker：Yuhao XUE, YMSC

Abstract

In this talk, we will discuss the behavior of the separating systole for random hyperbolic surfaces with respect to the Weil-Petersson measure of the moduli space. We show that its length is approximately 2log(g)-4log(log(g)) and it separates out a one-holed torus for generic surfaces. Some other geometric quantities are also considered. This talk is based on joint works with Xin Nie, Hugo Parlier and Yunhui Wu.

DATENovember 15, 2022

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