time: 2020.12.2，14:30-15:30pm
place：Tencent meeting 244 163 776
lecturer:Professor Zhao EnTao
topic：Rigidity theorems for ancient solutions of mean curvature flow in space forms
abstract：We will talk about the rigidity of ancient solutions of the mean curvature flow with 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 results on the rigidity of ancient solutions, including a rigidity theorem for ancient solutions in a sphere under a sharp asymptotic pointwise curvature pinching condition, a rigidity theorem for ancient solutions in a hyperbolic space under a pointwise curvature pinching condition, and a rigidity theorem for ancient solutions in a nonnegatively curved space form under an asymptotic integral curvature pinching condition. This talk is based on the joint work with Dr. Li Lei and Prof. Hongwei Xu.
