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Abstract: In this work we obtain optimal lower and upper bounds for second eigenvalues of closed hyperbolic surfaces for large genus. Moreover, we also study their asymptotic behaviors on random hyperbolic surfaces. This is a joint work with Yuxin He.
Bio: Yunhui Wu is a dual-appointed professor at the Yau Mathematical Sciences Center and Department of Mathematical Sciences of Tsinghua University. He obtained PhD degree from Brown University in 2012 and did his Postdoc at Rice University from 2012 to 2016. He then joined Tsinghua University in 2016. His research area is in Teichmüller theory of Riemann surfaces and Geometry.
