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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
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Jun 04, 2015  16:00-17:00  <정년퇴임기념강연> 회고 김도한  129-101 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
Mar 19, 2015  16:00-17:00  Zeros of the derivatives of the Riemann zeta function 기하서  129-101 
Sep 17, 2015  16:00-17:00  Weyl character formula and Kac-Wakimoto conjecture 권재훈  129-101 
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May 01, 2014  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
Sep 29, 2022  16:00-17:00  Contact topology of singularities and symplectic fillings 권명기  129-101 
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Mar 10, 2016  16:00-17:00  Solver friendly finite element methods 구자언  129-101 
May 16, 2013  08:00  ε Colloquia: Mathematics from the theory of entanglement 계승혁  27-109 
Jun 01, 2023  16:00-17:00  <정년퇴임 기념강연> 작용소대수와 양자정보이론 계승혁  129-101 
Nov 03, 2016  16:00-17:00  <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations 강정한  129-101 
Sep 07, 2017  16:00-17:00  Periodic orbits in symplectic geometry 강정수  129-101 
Apr 17, 2014  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
Apr 05, 2018  16:00-17:00  Conformal field theory in mathematics 강남규  129-101 
May 28, 2015  16:00-17:00  Avoidable collections of balls and minimal thinness for jump processes Zoran Vondraček  129-101 
Mar 15, 2018  16:00-17:00  Anomalous diffusions and fractional order differential equations Zhen-Qing Chen  129-101 
Sep 22, 2016  16:00-17:00  The phase retrieval problem Yang Wang  129-101