Title：The Weil-Petersson geometry of the moduli of curves for large genus

Speaker：吴云辉 （清华大学）
Time：2017年12月22日    下午16:00--17:30
Room：东区管理科研楼   数学科学学院1418室
 
Abstract：We study the systole function along Weil-Petersson geodesics. We show that the square root of the systole function is uniform Lipschitz on the Teichmuller space endowed with the Weil-Petersson metric. As an application, we study the growth of the Weil-Petersson inradius of the moduli space of Riemann surfaces of genus g with n punctures as a function of g and n. We show that the Weil-Petersson inradius is comparable to $/sqrt{/ln{g}}$ with respect to g, and is comparable to 1 with respect to n.