Speaker: Xiaolong Hans HAN (Yau Mathematics Science Center, Tsinghua University)

Time： Dec 14, 10:00-11:00

Place： 腾讯会议：588-250-072 会议密码：202223

Title： Large Steklov eigenvalue on random hyperbolic surfaces

Abstract： We construct a sequence of hyperbolic surfaces with connected geodesic boundary such that the first normalized Steklov eigenvalue tends to infinity, using the connection between eigenvalues and Cheeger's / Jammes's constants, and the recent work of Xin Nie, Yunhui Wu, and Yuhao Xue. Using the Weil-Petersson metric, we also show that the probability that a random Riemann surface has a large 1st normalized Steklov eigenvalue is asymptotically one.