Math Colloquia
Date Sep 30, 2021
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.

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Mar 31, 2022  16:00-17:00  A dissipative effect on some PDEs with physical singularity 김찬우  129-101 
Apr 07, 2022  16:00-17:00  Mirror symmetry of pairings 이상욱  129-101 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
Apr 28, 2022  16:00-17:00  Geometric Langlands theory: A bridge between number theory and physics file 유필상  129-101 
May 12, 2022  16:00-17:00  <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems 서인석  129-101 
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