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

报告人：高悦，安徽师范大学

时间：2024年9月9日（星期一）14：00

地点：东区五教5102教室

摘要：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.