4-23【陈乐天】On Ilmanen's Genus Reduction Conjecture

发布时间:2026-04-14来源:几何与物理研究中心中文网页浏览次数:10

报告人:陈乐天浙江师范大学

时间:2026年4月23日14:30-15:30  

地点:上海研究院新园区1号楼A座1329&腾讯会议:942 663 0176,密码:202501


  

Ilmanen conjectured that the genus of a mean curvature flow (MCF) in R^3 strictly decreases after a singularity, unless the singularity is a cylinder or a sphere. This conjecture has gained recent revived attention as many new tools in MCFs become available. We will survey some recent progress of the conjecture and provide examples of MCFs where the genus of the flow disappears. This accompanies a recent work of Shao and Zhou where the genus halves after the singularity. This is joint work with Jacob Bernstein and Daniel Ketover.


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