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几何与分析联合讨论班

报告题目：Existence of mean curvature flow singularities

报告人：韩小利（清华大学）

摘要：Velazquez constructed a countable collection of mean curvature flow solutions in R^N, N\geq 8. Each of these solutions becomes singular in finite time at which time the second fundamental form blows up. Guo and Sesum , Stolarski studied the behavior of the mean curvature of Velazquez's solution. While the construction provided by Velazquez's yields complete, non-compact mean curvature flow solutions. We will construct closed mean curvature flow solutions which become singular in finite time.

报告人简介：韩小利，清华大学数学系副教授，博士生导师。主要研究领域是几何分析，包括极小曲面，平均曲率流，Hermitian-Yang-Mills方程等问题。已经在 JEMS, IMRN, CVPDE等国际期刊发表论文20余篇。

报告时间：2023年3月21日（周二）上午9:00-10:00

线上报告地点：腾讯会议：341-6463-3205  会议密码: 无

组织人: 毕宇晨（中国科学院），周杰（首都师范大学），朱锦天（北京大学）