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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
Sep 30, 2021  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
Oct 07, 2021  16:00-17:00  Gromov-Witten invariant and holomorphic anomaly equation 노현호  129-101 
Oct 12, 2021  18:00-19:00  <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI 임현정  선택 
Oct 21, 2021  16:00-17:00  돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가 ?) file 홍순옥  129-101 
Oct 28, 2021  16:00-17:00  Symplectic topology and mirror symmetry of partial flag manifolds 김유식  선택 
Nov 04, 2021  16:00-17:00  Random matrices and operator algebras 윤상균  선택 
Nov 11, 2021  16:00-17:00  Infinite order rationally slice knots 박정환  선택 
Nov 18, 2021  16:00-17:00  Predicting the unpredictable via data assimilation 김상일  선택 
Dec 02, 2021  16:00-17:00  <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점 김영원  129-101 
Mar 17, 2022  16:00-17:00  Geometric structures and representation spaces 이계선  129-101 
Mar 24, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges 송용수  129-101 
Mar 31, 2022  16:00-17:00  A dissipative effect on some PDEs with physical singularity 김찬우  129-101 
Apr 07, 2022  16:00-17:00  Mirror symmetry of pairings 이상욱  129-101 
Apr 21, 2022  16:00-17:00  Noise-induced phenomena in stochastic heat equations 김건우  선택 
Apr 28, 2022  16:00-17:00  Geometric Langlands theory: A bridge between number theory and physics file 유필상  129-101 
May 12, 2022  16:00-17:00  <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems 서인석  129-101 
May 19, 2022  16:00-17:00  Regularity theory for non-autonomous elliptic equations in divergence form file 옥지훈  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 
Jun 02, 2022  16:00-17:00  <정년퇴임 기념강연> Fano manifolds - hyperkahler varieties, jacobians, rationality Atanas Iliev  129-101 
Jun 20, 2022  16:00-18:00  Discrete Double Hilbert transforms Along Polynomial Surfaces 김준일  27-325