Speaker: Entao Zhao（Zhejiang University）
Time: 14:00-15:00, Dec 9, 2022
Room: Tencent Meeting: 135 683 851, no password
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.
