报告人：雷力（浙江大学）

时间：2021年4月29日14:30开始

地点：数统学院LD202

摘要:In this talk，we will discuss rigidity problem of ancient solutions of the mean curvature flow with arbitrary codimension in space forms. A solution to the mean curvature flow is called ancient if it is defined on a time interval (-∞,T). We first prove that under a pointwise curvature pinching condition the ancient solution in a sphere is either a shrinking spherical cap or a totally geodesic sphere. Then we show that under certain pointwise curvature pinching condition the ancient solution in a hyperbolic space is a family of shrinking spheres. We also obtain a rigidity theorem for ancient solutions in a nonnegatively curved space form under an integral curvature pinching condition. This is joint work with Prof. H. W. Xu and Prof. E. T. Zhao.

简介: 雷力博士，师从于许洪伟老师，2016毕业于浙江大学，之后在浙江大学数学科学研究中心做博士后。 其研究领域是微分几何与几何分析，主要方向在于探究流形的曲率在流形的几何与拓扑中的应用。已经在Transaction A.M.S和中国科学等杂志上发表8篇文章，2017年“新世界数学奖”博士学位论文优秀奖，2018年获得中国博士后基金会博新人才支持计划。

邀请人：周恒宇

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