报告题目：Ancient solutions to the mean curvature flow of arbitrary codimension in space forms

报告人：赵恩涛教授，浙江大学

时间：2022年12月9日      下午14：00～15：00

地点：腾讯会议号：135 683 851

报告摘要：

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.