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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
Sep 22, 2016  16:00-17:00  The phase retrieval problem Yang Wang  129-101 
Sep 08, 2016  16:00-17:00  Theory and applications of partial differential equations 변순식  129-101 
Jun 09, 2016  16:00-17:00  Analysis and computations of stochastic optimal control problems for stochastic PDEs 이형천  129-101 
Jun 02, 2016  16:00-17:00  <학부생을 위한 ε 강연> 압축센싱과 행렬완성 심병효  129-101 
May 26, 2016  16:00-17:00  <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽 진중권  129-101 
May 19, 2016  16:00-17:00  Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Keivan Mallahi-Karai  129-101 
May 12, 2016  16:00-17:00  Quasi-homomorphisms into non-commutative groups Koji Fujiwara  129-101 
Apr 28, 2016  16:00-17:00  Entropies on covers of compact manifolds François Ledrappier  129-101 
Apr 14, 2016  16:00-17:00  Iwahori-Hecke algebras and beyond 김성순  129-101 
Apr 07, 2016  16:00-17:00  On the resolution of the Gibbs phenomenon 정재훈  129-101 
Mar 31, 2016  16:00-17:00  <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world Stanley Osher  129-101 
Mar 24, 2016  16:00-17:00  The process of mathematical modelling for complex and stochastic biological systems 김재경  129-101 
Mar 17, 2016  16:00-17:00  Random walks in spaces of negative curvature Giulio Tiozzo  129-101 
Mar 10, 2016  16:00-17:00  Solver friendly finite element methods 구자언  129-101 
Dec 03, 2015  16:00-17:00  Brownian motion and energy minimizing measure in negative curvature 임선희  129-101 
Nov 19, 2015  16:00-17:00  학부생을위한ε강연: 사물 인터넷 시대를 꽃피우게 하는 Embedded Software와 수학 이야기 김정한  129-101 
Nov 12, 2015  16:00-17:00  학부생을위한ε강연: 수학자는 왜 선망되는 직업일까? 김동수  129-101 
Nov 05, 2015  16:00-17:00  Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media 문미남  129-101 
Oct 29, 2015  16:00-17:00  Birkhoff type ergodic theorem on homogeneous space Ronggang Shi  129-101 
Oct 08, 2015  16:00-17:00  Geometric ergodic theory 임용도  129-101