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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 
Apr 25, 2019  16:00-17:00  Number theoretic results in a family Kim, Henry  129-101 
May 09, 2019  16:00-17:00  <학부생을 위한 ɛ 강연> Geometry and algebra of computational complexity 현동훈  129-101 
May 30, 2019  16:00-17:00  Symplectic Geometry, Mirror symmetry and Holomorphic Curves 홍한솔  129-101 
Sep 19, 2019  16:00-17:00  <청암상 수상 기념 특별강연> 동형암호, 기계학습, 근사정수론 천정희  129-101 
Sep 26, 2019  16:00-17:00  <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection 구형건  129-101 
Oct 10, 2019  16:00-17:00  Quantum Dynamics in the Mean-Field and Semiclassical Regime Francoise Golse  129-101 
Oct 17, 2019  16:00-17:00  Classification of simple amenable operator algebras Grazia Viola  129-101 
Oct 31, 2019  16:00-17:00  Quantitative residual non-vanishing of special values of various L-functions 선해상  129-101 
Nov 07, 2019  16:00-17:00  Mathematics, Biology and Mathematical Biology 정일효  129-101 
Nov 28, 2019  16:00-17:00  <정년퇴임 기념강연> 수학의 시대정신(?) 김명환  129-101 
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 13, 2021  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
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