Shape of Thurston’s filling systole subset in surface moduli space

Speaker: Yue Gao from Anhui Normal University

Abstract: In this talk, I am going to talk about the sparseness of Thurston’s subset. Sparseness is a geometric concept on Thurston’s subset first raised by Anderson-Parlier-Pettet in 2016. We have proved the sparseness of Thurston’s subset in the sense of Teichmüller distance and Weil-Petersson distance. More precisely, most surfaces in genus g surface moduli space have Teichmüller distance $\frac{1}{5}\log\log g$ and Weil-Petersson distance $0.6521(\sqrt{\log g}−\sqrt{7\log\log g})$ to the Thurston’s subset.

Time: 02/21 Friday, 4:30 pm

Location: Simis 1510

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Host: Xiaolong Hans Han

About the speaker: Yue Gao is an instructor at Anhui Normal University. He is intetested in low-dimensional topology and hyperbolic geometry. His current research is on hyperbolic geometry on surfaces and Teichmüller theory.