中国科学院数学与系统科学研究院
（第95期）
报告人：薛金鑫 教授（清华大学）
题 目：Dynamics of the mean curvature flows
摘 要：Mean curvature flow is to evolve an embedded hypersurface in Euclidean space according to the vector field given by the mean curvature at each point. We show how to extract geometric information from the asymptotics of a mean curvature flow approaching a singularity. We show that when the flow approaches a cylinder in a nondegenerate manner, i.e. with the slowest asymptotic rate, the flow can be extended through the singularity and the topology change can be described explicitly. When the flow approaches a cylinder in a degenerate manner, i.e. with exponential asymptotic rate, the singularity set can be proved to be at least C^2 modulo a lower dimensional set.
This talk is based on a series of works jointly with Ao Sun and Zhihan Wang.
时 间：2025.1.10(星期五), 10:40-11:50
地 点：南楼204会议室，腾讯会议地址：907-5908-5643
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