报告人：马辉教授

清华大学

报告题目：Uniqueness of closed self-similar solutions to $\sigma_k^{\alpha}$-curvature flow

报告时间：2017年12月08日下午15:30

报告地点：海韵实验楼105

摘要：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 $n$.

报告人简介：马辉博士，教授，2000年于北京大学数学学院获得理学博士学位，先后在清华大学、美国麻州州立大学Amherst分校作博士后研究。2004年6月起在清华任教。研究方向为微分几何。在Bull. Lond. Math. Soc.，J. Differential Geom.， Ann. Global Anal. Geom.等期刊发表论文二十余篇。

学院联系人：吕楹助理教授

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