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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
May 06, 2021  16:00-17:00  On circle diffeomorphism groups 김상현  선택 
May 13, 2021  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
Sep 30, 2021  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
Oct 12, 2021  18:00-19:00  <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI 임현정  선택 
Oct 28, 2021  16:00-17:00  Symplectic topology and mirror symmetry of partial flag manifolds 김유식  선택 
Nov 04, 2021  16:00-17:00  Random matrices and operator algebras 윤상균  선택 
Nov 11, 2021  16:00-17:00  Infinite order rationally slice knots 박정환  선택 
Nov 18, 2021  16:00-17:00  Predicting the unpredictable via data assimilation 김상일  선택 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택