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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 02, 2021  16:00-17:00  Diophantine equations and moduli spaces with nonlinear symmetry 황준호  129-101 
May 30, 2019  16:00-17:00  Symplectic Geometry, Mirror symmetry and Holomorphic Curves 홍한솔  129-101 
Oct 21, 2021  16:00-17:00  돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가 ?) file 홍순옥  129-101 
Mar 12, 2015  16:00-17:00  Geometry, algebra and computation in moduli theory 현동훈  129-101 
May 09, 2019  16:00-17:00  <학부생을 위한 ɛ 강연> Geometry and algebra of computational complexity 현동훈  129-101 
Apr 15, 2015  16:00-17:00  Mechanization of proof: from 4-Color theorem to compiler verification 허충길  129-101 
Apr 09, 2015  16:00-17:00  Multi-D wavelet construction: introduction and new approaches 허영미  129-101 
Mar 25, 2021  16:00-17:00  One and Two dimensional Coulomb Systems 폴정  129-101 
Nov 30, 2017  16:00-17:00  <정년퇴임 기념강연>Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition 최형인  129-101 
May 31, 2018  16:00-17:00  Introduction to enumerative geometry 최진원  129-101 
Mar 21, 2013  08:00  ε Colloquia : Constructions by ruler and compass together with a conic 최인송  27-109 
Nov 16, 2017  16:00-17:00  An equivalent condition to Bohr's for Dirichlet series file 최윤성  129-101 
Mar 21, 2019  16:00-17:00  A modified separation method to solve a heat-transfer boundary value problem file 최병선  129-101 
Nov 10, 2016  16:00-17:00  <학부생을 위한 ε 강연> Reciprocity in number theory (by Gauss, Artin, and Langlands) 최도훈  129-101 
Mar 22, 2018  16:00-17:00  우리나라에서 통용된 파생상품 (사례 중심) 최계명  129-101 
Sep 30, 2021  16:00-17:00  Topological surgery through singularity in mean curvature flow 최경수  선택 
Oct 13, 2016  16:00-17:00  <학부생을 위한 ε 강연> 동형암호와 근사정수론 천정희  129-101 
Sep 19, 2019  16:00-17:00  <청암상 수상 기념 특별강연> 동형암호, 기계학습, 근사정수론 천정희  129-101 
Oct 06, 2016  16:00-17:00  4-manifold topology and disk embedding 차재춘  129-101 
Nov 22, 2017  16:00-17:00  <학부생을 위한 ɛ 강연> 4차 산업혁명, 글로벌 디지털 혁신과 일자리 전쟁, 대학의 역할 차상균  27-220