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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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Oct 16, 2014  16:00-17:00  정교민 (서울대학교 전기공학부)Recommendation system and matrix completion: SVD and its applications (* 학부생을 위한 ɛ강연) 정교민  129-101 
Oct 23, 2014  16:00-17:00  Restriction theorems for real and complex curves 박종국  129-101 
Oct 30, 2014  16:00-17:00  Essential dimension of simple algebras 백상훈  129-101 
Nov 06, 2014  16:00-17:00  What is model theory? 김병한  129-101 
Nov 11, 2014  15:30-16:30  The "absorbing" method: Is laziness paying off? Endre Szemerédi  129-101 
Nov 20, 2014  16:00-17:00  High dimensional nonlinear dynamics 도영해  129-101 
Dec 04, 2014  16:00-17:00  Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology 오용근  129-101 
Sep 08, 2016  16:00-17:00  Theory and applications of partial differential equations 변순식  129-101 
Mar 12, 2015  16:00-17:00  Geometry, algebra and computation in moduli theory 현동훈  129-101 
Mar 19, 2015  16:00-17:00  Zeros of the derivatives of the Riemann zeta function 기하서  129-101 
Mar 26, 2015  16:00-17:00  Q-curvature in conformal geometry Pak Tung Ho  129-101 
Apr 02, 2015  16:00-17:00  On the distributions of partition ranks and cranks 김병찬  129-101 
Apr 09, 2015  16:00-17:00  Multi-D wavelet construction: introduction and new approaches 허영미  129-101 
Apr 15, 2015  16:00-17:00  Mechanization of proof: from 4-Color theorem to compiler verification 허충길  129-101 
Apr 30, 2015  16:00-17:00  Green’s function for initial-boundary value problem Shih-Hsien Yu  129-101 
May 07, 2015  16:00-17:00  The classification of fusion categories and operator algebras Masaki Izumi  129-101 
May 14, 2015  16:00-17:00  <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 엄상일  129-101 
May 28, 2015  16:00-17:00  Avoidable collections of balls and minimal thinness for jump processes Zoran Vondraček  129-101 
Jun 04, 2015  16:00-17:00  <정년퇴임기념강연> 회고 김도한  129-101