报告题目： Ancient solutions to mean curvature flow of isoparametricsubmanifolds

报告人：刘小博教授，北京国际数学中心副主任，博士生导师

摘要：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. This motivated us to propose conjectures about rigidity of ancient MCF for hypersurfaces in spheres. This talk is based on a joint work with Chuu-LianTerng.

时间：2020年9月29日上午十点到十一点半

地点：理化楼401会议室

欢迎青年教师和员工、博士生参加!

刘小博，北京大学讲席教授，北京国际数学研究中心副主任，北京大学数学研究所副所长，主要研究方向为微分几何、数学物理，在Annals of Math, American Journal of Math等国际著名期刊上发表多篇高质量论文，2006年受邀在西班牙马德里召开的世界数学家大会上做特邀报告，2010年开始在北京大学工作。他回国后的主要研究领域集中在Gromov-Witten不变量普适方程和Virasoro猜想，取得了重要进展。