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Singularities of mean curvature flow with bounded mean curvature and Morse index

2025-10-09 16:08:01
报告人 时间 15:30-17:00
地点 E4-233 2025
月日 10-16

Time: 15:30-17:00, Thursday, October 16, 2025

Venue: E4-233


Host: Jintian Zhu, ITS

Speaker: Yongheng Han, USTC

Title: Singularities of mean curvature flow with bounded mean curvature and Morse index

Language: English

Abstract: We study the multiplicity of the singularities of mean curvature flow with bounded mean curvature and Morse index. For $3\leq n\leq 6$, we show that either the mean curvature or the Morse index blows up at the first singular time for a closed smooth embedded mean curvature flow in $\mathbb{R}^{n+1}$.