http://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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 02, 2021  16:00-17:00  <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점 김영원  선택 
Nov 18, 2021  16:00-17:00  Predicting the unpredictable via data assimilation 김상일  선택 
Nov 11, 2021  16:00-17:00  Infinite order rationally slice knots 박정환  선택 
Nov 04, 2021  16:00-17:00  Random matrices and operator algebras 윤상균  선택 
Oct 28, 2021  16:00-17:00  Symplectic topology and mirror symmetry of partial flag manifolds 김유식  선택 
Oct 21, 2021  16:00-17:00  돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가 ?) file 홍순옥  129-101 
Oct 12, 2021  18:00-19:00  <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI 임현정  선택 
Oct 07, 2021  16:00-17:00  Gromov-Witten invariant and holomorphic anomaly equation 노현호  129-101 
Sep 30, 2021  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
Sep 16, 2021  16:00-17:00  Heavy-tailed large deviations and deep learning's generalization mystery 이창한  129-101 
Sep 02, 2021  16:00-17:00  Diophantine equations and moduli spaces with nonlinear symmetry 황준호  129-101 
Jun 03, 2021  16:00-17:00  <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces 이우영  129-101 
May 27, 2021  16:00-17:00  <정년퇴임 기념강연> The Elements of Euclid 김홍종  129-101 
May 13, 2021  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
May 06, 2021  16:00-17:00  On circle diffeomorphism groups 김상현  선택 
Apr 15, 2021  16:00-17:00  <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem Otto van Koert  129-101 
Apr 08, 2021  16:00-17:00  WGAN with an Infinitely wide generator has no spurious stationary points 류경석  129-101 
Apr 01, 2021  16:00-17:00  Free boundary problems arising from mathematical finance 전준기  129-101 
Mar 25, 2021  16:00-17:00  One and Two dimensional Coulomb Systems 폴정  129-101 
Mar 18, 2021  16:00-17:00  The volume of p-adic manifold and applications to number theory 조성문  129-101