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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 11, 2014  16:00-17:00  특수 복소 선형군의 불변 다항식 김상집  129-101 
May 29, 2014  16:00-17:00  On property (RD) Irine Peng  129-101 
May 22, 2014  16:00-17:00  Recent progress on the Brascamp-Lieb inequality and applications Neal Bez  129-101 
May 15, 2014  16:00-17:00  Existence of positive solutions for phi-Laplacian systems file 이용훈  129-101 
May 08, 2014  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
May 01, 2014  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
Apr 17, 2014  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
Apr 10, 2014  16:00-17:00  Categorification of Donaldson-Thomas invariants 김영훈  129-101 
Apr 03, 2014  16:00-17:00  Noncommutative Surfaces Jens Hoppe  129-101 
Mar 27, 2014  16:00-17:00  The Shape of Data Gunnar Carlsson  129-101 
Mar 20, 2014  16:00-17:00  The Topology of Tiling Spaces Jean Bellissard  129-101 
Mar 13, 2014  16:00-17:00  Subgroups of Mapping Class Groups 김상현  129-101 
Nov 07, 2013  08:00  The logarithmic singularities of the Green functions of the conformal powers of the Laplacian Raphael Ponge  129-101 
Oct 31, 2013  16:00  Connes's Embedding Conjecture and its equivalent Narutaka Ozawa  129-101 
May 30, 2013  08:00  Volume conjecture 김혁  27-109 
May 16, 2013  08:00  ε Colloquia: Mathematics from the theory of entanglement 계승혁  27-109 
May 02, 2013  08:00  ε Colloquia : Sir Isaac Newton and scientific computing 신동우  27-109 
Mar 28, 2013  08:00  Compressible viscous Navier-Stokes flows: Corner singularity, regularity 권재룡  27-109 
Mar 21, 2013  08:00  ε Colloquia : Constructions by ruler and compass together with a conic 최인송  27-109 
Mar 14, 2013  08:00  Non-commutative L^p-spaces and analysis on quantum spaces 이훈희  27-109