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Taipei Postdoc Seminar
 
11:00 - 12:30, May 17, 2017 (Wednesday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
The Stability of Self-shrinkers of Mean Curvature Flow
Yang-Kai Lue (National Taiwan Normal University)

Abstract

From Huisken's monotonicity formula, self-shrinkers describe all possible central blow-up limits of a finite-time singularity of mean curvature flow. We introduce the $F$-functional. Self-shrinkers are critical points of the $F$-functional. Using the second variation of the $F$-functional, some self-shrinkers can be classified. I will talk about recent classification results of self-shrinkers. 



 

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