Self-Expander of Mean Curvature Flow and Applications

Time：2023-11-24 Fri 09:00-10:00

Venue：ZOOM: 928 682 9093（PW: BIMSA）

Organizer：Chao Qian, Kotaro Kawai

Speaker：Lu Wang Yale University

Abstract

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.

DATENovember 24, 2023

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