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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.

Subject
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Nov 08, 2018  16:00-17:00  The Lagrange and Markov Spectra of Pythagorean triples 김동한  129-101 
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Jun 04, 2015  16:00-17:00  <정년퇴임기념강연> 회고 김도한  129-101 
Sep 12, 2024  16:00-17:00  On classification of long-term dynamics for some critical PDEs 김기현  129-101 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
Mar 19, 2015  16:00-17:00  Zeros of the derivatives of the Riemann zeta function 기하서  129-101 
Sep 17, 2015  16:00-17:00  Weyl character formula and Kac-Wakimoto conjecture 권재훈  129-101 
Mar 28, 2013  08:00  Compressible viscous Navier-Stokes flows: Corner singularity, regularity 권재룡  27-109 
May 01, 2014  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
Sep 29, 2022  16:00-17:00  Contact topology of singularities and symplectic fillings 권명기  129-101 
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