http://my.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
2021-03-11  16:00-17:00  Ill-posedness for incompressible Euler equations at critical regularity 정인지  129-101 
2021-03-18  16:00-17:00  The volume of p-adic manifold and applications to number theory 조성문  129-101 
2021-03-25  16:00-17:00  One and Two dimensional Coulomb Systems 폴정  129-101 
2021-04-01  16:00-17:00  Free boundary problems arising from mathematical finance 전준기  129-101 
2021-04-08  16:00-17:00  WGAN with an Infinitely wide generator has no spurious stationary points 류경석  129-101 
2021-04-15  16:00-17:00  <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem Otto van Koert  129-101 
2021-05-13  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
2021-05-27  16:00-17:00  <정년퇴임 기념강연> The Elements of Euclid 김홍종  129-101 
2021-06-03  16:00-17:00  <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces 이우영  129-101 
2021-09-02  16:00-17:00  Diophantine equations and moduli spaces with nonlinear symmetry 황준호  129-101 
2021-09-30  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
2021-10-07  16:00-17:00  Gromov-Witten invariant and holomorphic anomaly equation 노현호  129-101 
2021-09-16  16:00-17:00  Heavy-tailed large deviations and deep learning's generalization mystery 이창한  129-101 
2021-10-21  16:00-17:00  돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가 ?) file 홍순옥  129-101 
2021-10-28  16:00-17:00  Symplectic topology and mirror symmetry of partial flag manifolds 김유식  선택 
2021-11-04  16:00-17:00  Random matrices and operator algebras 윤상균  선택 
2021-11-11  16:00-17:00  Infinite order rationally slice knots 박정환  선택 
2021-11-18  16:00-17:00  Predicting the unpredictable via data assimilation 김상일  선택 
2021-12-02  16:00-17:00  <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점 김영원  129-101 
2022-03-17  16:00-17:00  Geometric structures and representation spaces 이계선  129-101