https://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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
2015-04-02  16:00-17:00  On the distributions of partition ranks and cranks 김병찬  129-101 
2024-11-28  16:00-17:00  All Calegari spheres are standard 김민훈  129-101 
2024-09-26  16:00-17:00  Regularity theory for nonlocal equations 김민현  129-101 
2019-11-28  16:00-17:00  <정년퇴임 기념강연> 수학의 시대정신(?) 김명환  129-101 
2016-10-27  16:00-17:00  Subword complexity, expansion of real numbers and irrationality exponents 김동한  129-101 
2018-11-08  16:00-17:00  The Lagrange and Markov Spectra of Pythagorean triples 김동한  129-101 
2015-11-12  16:00-17:00  학부생을위한ε강연: 수학자는 왜 선망되는 직업일까? 김동수  129-101 
2019-05-16  16:00-17:00  <학부생을 위한 ɛ 강연> Intuition, Mathematics and Proof 김동수  129-101 
2019-03-14  16:00-17:00  Arithmetic of elliptic curves 김도형  129-101 
2015-06-04  16:00-17:00  <정년퇴임기념강연> 회고 김도한  129-101 
2024-09-12  16:00-17:00  On classification of long-term dynamics for some critical PDEs 김기현  129-101 
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