http://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
2021-06-03  16:00-17:00  <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces 이우영  129-101 
2023-11-30  16:00-17:00  <학부생을 위한 ɛ 강연> 아르키메데스의 유레카: 그리스 수학의 재발견 이은수  129-101 
2021-09-16  16:00-17:00  Heavy-tailed large deviations and deep learning's generalization mystery 이창한  129-101 
2016-06-09  16:00-17:00  Analysis and computations of stochastic optimal control problems for stochastic PDEs 이형천  129-101 
2013-03-14    Non-commutative L^p-spaces and analysis on quantum spaces 이훈희  27-109 
2018-09-27  16:00-17:00  Alice and Bob meet Banach and von Neumann 이훈희  129-101 
2024-04-11  16:00-18:00  <학부생을 위한 ɛ 강연> d _{k} =d _{k-2} +d _{k-3} 임보해  129-101 
2015-12-03  16:00-17:00  Brownian motion and energy minimizing measure in negative curvature 임선희  129-101 
2015-10-08  16:00-17:00  Geometric ergodic theory 임용도  129-101 
2021-10-12  18:00-19:00  <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI 임현정  선택 
2019-03-28  16:00-17:00  Fixed points of symplectic/Hamiltonian circle actions 장동훈  129-101 
2019-11-21  16:00-17:00  <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI 장병탁  129-101 
2023-04-06  16:00-17:00  Vlasov-Maxwell equations and the Dynamics of Plasmas 장진우  129-101 
2021-04-01  16:00-17:00  Free boundary problems arising from mathematical finance 전준기  129-101 
2014-10-16  16:00-17:00  정교민 (서울대학교 전기공학부)Recommendation system and matrix completion: SVD and its applications (* 학부생을 위한 ɛ강연) 정교민  129-101 
2017-10-12  16:00-17:00  <학부생을 위한 ɛ 강연> 서비스 진보의 관점에서 본 AI technology 정상원  129-101 
2017-05-11  16:00-17:00  Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza 정은옥  129-101 
2021-03-11  16:00-17:00  Ill-posedness for incompressible Euler equations at critical regularity 정인지  129-101 
2019-11-07  16:00-17:00  Mathematics, Biology and Mathematical Biology 정일효  129-101 
2016-04-07  16:00-17:00  On the resolution of the Gibbs phenomenon 정재훈  129-101