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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 29, 2016  16:00-17:00  Hybrid discontinuous Galerkin methods in computational science and engineering 박은재  129-101 
Mar 23, 2017  16:00-17:00  북한의 인재양성정책과 김일성종합대학에 대하여 김수연  129-101 
Oct 19, 2017  16:00-17:00  On the Schauder theory for elliptic PDEs 김세익  129-101 
Nov 16, 2017  16:00-17:00  An equivalent condition to Bohr's for Dirichlet series file 최윤성  129-101 
Oct 06, 2016  16:00-17:00  4-manifold topology and disk embedding 차재춘  129-101 
Oct 13, 2016  16:00-17:00  <학부생을 위한 ε 강연> 동형암호와 근사정수론 천정희  129-101 
Oct 27, 2016  16:00-17:00  Subword complexity, expansion of real numbers and irrationality exponents 김동한  129-101 
Nov 10, 2016  16:00-17:00  <학부생을 위한 ε 강연> Reciprocity in number theory (by Gauss, Artin, and Langlands) 최도훈  129-101 
Nov 30, 2017  16:00-17:00  <정년퇴임 기념강연>Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition 최형인  129-101 
Apr 12, 2018  16:00-17:00  Unique ergodicity for foliations file Nessim Sibony  129-101 
Apr 26, 2018  16:00-17:00  Mathemaics & Hedge Fund 김택근  129-101 
May 03, 2018  16:00-17:00  1 is big enough to understand 3 백형렬  129-101 
Nov 03, 2016  16:00-17:00  <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations 강정한  129-101 
Mar 30, 2017  16:00-17:00  <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations 배한택  129-101 
Mar 09, 2017  16:00-17:00  What happens inside a black hole? 오성진  129-101 
Mar 16, 2017  16:00-17:00  An introduction to hyperplane arrangements 이승진  129-101 
Apr 06, 2017  16:00-17:00  Creation of concepts for prediction models and quantitative trading 이승환  129-101 
Apr 13, 2017  16:00-17:00  Convex and non-convex optimization methods in image processing Michael Ng  129-101 
May 24, 2018  16:00-17:00  On function field and smooth specialization of a hypersurface in the projective space 이용남  129-101 
May 31, 2018  16:00-17:00  Introduction to enumerative geometry 최진원  129-101