题  目：Isoparametric Submanifolds and Mean Curvature Flow

内容简介：Ancient solutions are important in studying singularities of mean curvature flows (MCF). So far most rigidity results about ancient solutions are modeled on shrinking spheres or spherical caps. In this talk, I will describe the behavior of MCF for a class of submanifolds, called isoparametricsubmanifolds, which have more complicated topological type. We can show that all such solutions are in fact ancient solutions, i.e. they exist for all time which goes to negative infinity. Similar results also hold for MCF of regular leaves of polar foliations in simply connected symmetric spaces with non-negative curvature. I will also describe our conjectures proposed together with Terng on rigidity of ancient solutions to MCF for hypersurfaces in spheres. These conjectures are closely related to Chern’s conjecture for minimal hypersurfaces in spheres. This talk is based on joint works with Chuu-LianTerng and Marco Radeschi.

报告人：北京大学  刘小博  教授

报告人简介：本科毕业于清华大学，博士毕业于美国宾夕法尼亚大学，曾任美国圣母大学教授，现为北京大学讲席教授。他曾在《Annals of Math.》、《Journal of Differential Geometry》、《Duke Math. Journal》等国际一流期刊上发表多篇论文。由于在几何与数学物理领域杰出的学术成就，他曾获得美国 Sloan 研究奖，并应邀在 2006 年的国际数学家大会上做 45 分钟报告。目前，他正担任北京国际数学中心的副主任。

时  间：2021年6月11日（周五）上午10：30开始

地  点：腾讯在线会议ID：908 965 709

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