12-09【赵恩涛】Ancient solutions to the mean curvature flow of arbitrary codimension in space forms

发布时间:2022-12-07来源:几何与物理研究中心中文网页浏览次数:81

报告人:赵恩涛(浙江大学)

时间:2022年12月9日 14:00-15:00

地点:腾讯会议号:135 683 851,无需密码


 

We will talk about the rigidity of ancient solutions to the mean curvature flow of arbitrary codimension in space forms. We first give a brief survey on the classification and rigidity theorems for ancient solutions. Then we discuss our recent work on the rigidity of ancient solutions, including a rigidity theorem for ancient solutions in a sphere under a sharp pointwise curvature pinching condition, a rigidity theorem for ancient solutions in a nonnegatively curved space form under an integral curvature pinching condition, and a Bernstein type theorem for graphical ancient solutions in the Euclidean space. This talk is based on the joint works with Prof. Hongwei Xu, Dr. Li Lei and Dr. Li Guan.