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Self-Expander of Mean Curvature Flow and Applications

组织者

河井公大朗 , 钱超

演讲者

Lu Wang

时间

2023年11月24日 09:00 至 10:00

地点

Online

线上

Zoom 928 682 9093 (BIMSA)

摘要

Self-expanders are a special class of solutions to the mean curvature flow, in which a later time slice is a scale-up copy of an earlier one. They are also critical points for a suitable weighted area functional. Self-expanders model the asymptotic behavior of a mean curvature flow when it emerges from a cone singularity. The nonuniqueness of self-expanders presents challenges in the study of cone-like singularities in the flow. In this talk, I will discuss some recent development on a variational theory for self-expanders and an application to the question on lower density bounds for minimal cones.