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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
Jun 02, 2022  16:00-17:00  <정년퇴임 기념강연> Fano manifolds - hyperkahler varieties, jacobians, rationality Atanas Iliev  129-101 
Nov 11, 2014  15:30-16:30  The "absorbing" method: Is laziness paying off? Endre Szemerédi  129-101 
Apr 28, 2016  16:00-17:00  Entropies on covers of compact manifolds François Ledrappier  129-101 
Oct 10, 2019  16:00-17:00  Quantum Dynamics in the Mean-Field and Semiclassical Regime Francoise Golse  129-101 
Mar 17, 2016  16:00-17:00  Random walks in spaces of negative curvature Giulio Tiozzo  129-101 
Oct 17, 2019  16:00-17:00  Classification of simple amenable operator algebras Grazia Viola  129-101 
Mar 27, 2014  16:00-17:00  The Shape of Data Gunnar Carlsson  129-101 
May 29, 2014  16:00-17:00  On property (RD) Irine Peng  129-101 
Mar 20, 2014  16:00-17:00  The Topology of Tiling Spaces Jean Bellissard  129-101 
Apr 03, 2014  16:00-17:00  Noncommutative Surfaces Jens Hoppe  129-101 
May 13, 2021  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
May 19, 2016  16:00-17:00  Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Keivan Mallahi-Karai  129-101 
Oct 02, 2014  16:00-17:00  Deformation spaces of Kleinian groups and beyond Kenichi Ohshika  129-101 
Nov 01, 2018  16:00-17:00  A-infinity functor and topological field theory Kenji Fukaya  129-101 
Apr 25, 2019  16:00-17:00  Number theoretic results in a family Kim, Henry  129-101 
May 12, 2016  16:00-17:00  Quasi-homomorphisms into non-commutative groups Koji Fujiwara  129-101 
May 07, 2015  16:00-17:00  The classification of fusion categories and operator algebras Masaki Izumi  129-101 
May 08, 2014  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
Apr 13, 2017  16:00-17:00  Convex and non-convex optimization methods in image processing Michael Ng  129-101 
Oct 31, 2013  16:00  Connes's Embedding Conjecture and its equivalent Narutaka Ozawa  129-101