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수학강연회
Date 2021-09-30
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.

제목
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2022-04-21  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
2015-03-19  16:00-17:00  Zeros of the derivatives of the Riemann zeta function 기하서  129-101 
2015-09-17  16:00-17:00  Weyl character formula and Kac-Wakimoto conjecture 권재훈  129-101 
2013-03-28  08:00  Compressible viscous Navier-Stokes flows: Corner singularity, regularity 권재룡  27-109 
2014-05-01  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
2022-09-29  16:00-17:00  Contact topology of singularities and symplectic fillings 권명기  129-101 
2019-09-26  16:00-17:00  <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection 구형건  129-101 
2016-03-10  16:00-17:00  Solver friendly finite element methods 구자언  129-101 
2013-05-16  08:00  ε Colloquia: Mathematics from the theory of entanglement 계승혁  27-109 
2023-06-01  16:00-17:00  <정년퇴임 기념강연> 작용소대수와 양자정보이론 계승혁  129-101 
2016-11-03  16:00-17:00  <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations 강정한  129-101 
2017-09-07  16:00-17:00  Periodic orbits in symplectic geometry 강정수  129-101 
2014-04-17  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
2018-04-05  16:00-17:00  Conformal field theory in mathematics 강남규  129-101 
2015-05-28  16:00-17:00  Avoidable collections of balls and minimal thinness for jump processes Zoran Vondraček  129-101 
2018-03-15  16:00-17:00  Anomalous diffusions and fractional order differential equations Zhen-Qing Chen  129-101 
2016-09-22  16:00-17:00  The phase retrieval problem Yang Wang  129-101