报告名称：Tensor maximum principle and its applications to extrinsic curvature flows
报告专家： 胡鹰翔
专家所在单位： 北京航空航天大学
报告时间：2024 年12月11日 15:00-19:00
报告地点： 腾讯会议(268-144-292)
报告摘要：
In this talk, we will first review the tensor maximum principle, which was introduced by Hamilton in
1982. Then we will talk about the development of this technique, and its applications to the curvature
flows, in particular, the extrinsic curvature flows in hyperbolic space. Moreover, we will provide a new
tensor maximum principle for Riemannian manifolds with Neumann boundary, which can be used to
establish the isoperimetric type inequalities for capillary hypersurfaces. This talk is based on my work
with Haizhong Li (Tsinghua U.), Yong Wei (USTC), Tailong Zhou (Sichuan U.) and Bo Yang (Tsinghua
U.).
专家简介：
胡鹰翔, 本科和博士毕业于浙江大学；后赴清华大学丘成桐数学科学中心从事博士后研究工
作。2020 年 7 月至今为北京航空航天大学数学科学学院副教授。研究方向为微分几何，主
要研究兴趣为超曲面曲率流及其几何应用。
