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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 28, 2019  16:00-17:00  <정년퇴임 기념강연> 수학의 시대정신(?) 김명환  129-101 
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Mar 18, 2021  16:00-17:00  The volume of p-adic manifold and applications to number theory 조성문  129-101 
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Apr 08, 2021  16:00-17:00  WGAN with an Infinitely wide generator has no spurious stationary points 류경석  129-101 
Apr 15, 2021  16:00-17:00  <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem Otto van Koert  129-101 
May 06, 2021  16:00-17:00  On circle diffeomorphism groups 김상현  선택 
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