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수학강연회
Date 2021-09-30
Speaker 최경수
Dept. 고등과학원 수학부
Room 선택
Time 16:00-17:00


The mean curvature flow is an evolution of hypersurfaces satisfying a geometric heat equation. The flow naturally develops singularities and changes the topology of the hypersurfaces at singularities, Therefore, one can study topological problems via singularity analysis for parabolic partial differential equations. Indeed, linearly stable singularities are just round cylinders, and thus we can expect how to change the topology of generic solutions to the flow.

In this talk, we first introduce the mean curvature flow, the blow-up analysis, and the stability of singularities. If time permits, we also discuss the well-posedness problem through linearly stable singularities.

제목
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2021-09-30  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
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2022-04-07  16:00-17:00  Mirror symmetry of pairings 이상욱  129-101 
2022-04-21  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
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