信息科学技术学院建院20周年系列:数学系学术讲座(十一)

发布单位:效果专利归纳科 [2021-06-03 16:35:31] 打印此信息

  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.

陈述人:北京大学  刘小博  教授

陈述人简介:本科结业于清华大学,博士结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》等世界一流期刊上宣布多篇论文。因为在几许与数学物理范畴出色的学术成果,他曾取得美国 Sloan 研讨奖,并应邀在 2006 年的世界数学家大会上做 45 分钟陈述。现在,他正担任北京世界数学中心的副主任。

  间:2021611日(周五)上午1030开端

  点:腾讯在线会议ID908 965 709

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