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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
Dec 01, 2022  16:00-17:00  Birational Geometry of varieties with effective anti-canonical divisors 최성락  129-101 
Nov 24, 2022  16:00-17:00  Contact instantons and entanglement of Legendrian links 오용근  129-101 
Nov 17, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision 현윤석  129-101 
Nov 10, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> 수학과 보험산업 유신옥  129-101 
Nov 03, 2022  16:00-17:00  Counting number fields and its applications 조재현  129-101 
Oct 13, 2022  16:00-17:00  Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications 신연종  129-101 
Oct 06, 2022  16:00-17:00  Elliptic equations with singular drifts in critical spaces 김현석  129-301 
Sep 29, 2022  16:00-17:00  Contact topology of singularities and symplectic fillings 권명기  129-101 
Sep 22, 2022  16:00-17:00  Stability/instability of exact solutions of Euler equations 최규동  129-101 
Jun 20, 2022  16:00-18:00  Discrete Double Hilbert transforms Along Polynomial Surfaces 김준일  27-325 
Jun 02, 2022  16:00-17:00  <정년퇴임 기념강연> Fano manifolds - hyperkahler varieties, jacobians, rationality Atanas Iliev  129-101 
May 26, 2022  16:00-17:00  <정년퇴임 기념강연> Some remarks on PDEs and Numerical Analysis: some results developed at SNU 신동우  129-101 
May 19, 2022  16:00-17:00  Regularity theory for non-autonomous elliptic equations in divergence form file 옥지훈  129-101 
May 12, 2022  16:00-17:00  <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems 서인석  129-101 
Apr 28, 2022  16:00-17:00  Geometric Langlands theory: A bridge between number theory and physics file 유필상  129-101 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
Apr 07, 2022  16:00-17:00  Mirror symmetry of pairings 이상욱  129-101 
Mar 31, 2022  16:00-17:00  A dissipative effect on some PDEs with physical singularity 김찬우  129-101 
Mar 24, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges 송용수  129-101 
Mar 17, 2022  16:00-17:00  Geometric structures and representation spaces 이계선  129-101