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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
Mar 11, 2021  16:00-17:00  Ill-posedness for incompressible Euler equations at critical regularity 정인지  129-101 
Mar 18, 2021  16:00-17:00  The volume of p-adic manifold and applications to number theory 조성문  129-101 
Mar 25, 2021  16:00-17:00  One and Two dimensional Coulomb Systems 폴정  129-101 
Apr 01, 2021  16:00-17:00  Free boundary problems arising from mathematical finance 전준기  129-101 
Apr 08, 2021  16:00-17:00  WGAN with an Infinitely wide generator has no spurious stationary points 류경석  129-101 
Apr 15, 2021  16:00-17:00  <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem Otto van Koert  129-101 
May 27, 2021  16:00-17:00  <정년퇴임 기념강연> The Elements of Euclid 김홍종  129-101 
Jun 03, 2021  16:00-17:00  <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces 이우영  129-101 
Sep 02, 2021  16:00-17:00  Diophantine equations and moduli spaces with nonlinear symmetry 황준호  129-101 
Oct 07, 2021  16:00-17:00  Gromov-Witten invariant and holomorphic anomaly equation 노현호  129-101 
Sep 16, 2021  16:00-17:00  Heavy-tailed large deviations and deep learning's generalization mystery 이창한  129-101 
Oct 21, 2021  16:00-17:00  돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가 ?) file 홍순옥  129-101 
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 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 26, 2022  16:00-17:00  <정년퇴임 기념강연> Some remarks on PDEs and Numerical Analysis: some results developed at SNU 신동우  129-101