https://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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 30, 2024  16:00-17:00  Structural stability of meandering-hyperbolic group actions new 김성운  129-101 
May 23, 2024  16:00-17:00  Moduli spaces of sheaves on an algebraic curve new 이경석  129-101 
May 16, 2024  16:00-17:00  Regularity for non-uniformly elliptic problems new 오제한  129-101 
May 02, 2024  16:00-17:00  Large random tilings of a hexagon new Arno Kuijlaars  129-101 
Apr 11, 2024  16:00-18:00  <학부생을 위한 ɛ 강연> d _{k} =d _{k-2} +d _{k-3} new 임보해  129-101 
Apr 04, 2024  16:00-17:00  <학부생을 위한 ɛ 강연> 수학도가 SW 개발자 되기 new 정진민  129-101 
Mar 21, 2024  16:00-17:00  Decouplings and applications new 오창근  129-101 
Mar 14, 2024  16:00-17:00  From mirror symmetry to enumerative geometry new 오정석  129-101 
Nov 30, 2023  16:00-17:00  <학부생을 위한 ɛ 강연> 아르키메데스의 유레카: 그리스 수학의 재발견 이은수  129-101 
Nov 23, 2023  16:00-17:00  Universality of log-correlated fields 남경식  129-101 
Nov 16, 2023  16:00-17:00  Maximal averages in harmonic analysis 이상혁  129-101 
Nov 02, 2023  16:00-17:00  Distributed optimization: Theory of algorithms and applications 최우철  129-101 
Oct 19, 2023  16:00-17:00  <학부생을 위한 ɛ 강연> Geometry of quantum states 김영훈  129-101 
Oct 05, 2023  16:00-17:00  Class field theory for 3-dimensional foliated dynamical systems Morishita Masanori  129-101 
Sep 21, 2023  16:00-17:00  Satellite operators on knot concordance 김태희  129-101 
Sep 14, 2023  16:00-17:00  Real eigenvalues of asymmetric random matrices 변성수  129-101 
Jun 01, 2023  16:00-17:00  <정년퇴임 기념강연> 작용소대수와 양자정보이론 계승혁  129-101 
May 25, 2023  16:00-17:00  Entropy of symplectic automorphisms 김준태  129-101 
May 18, 2023  16:00-18:00  Equations defining algebraic curves and their tangent and secant varieties 박진형  129-101 
May 11, 2023  16:00-17:00  Descent in derived algebraic geometry 조창연  129-101