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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
Oct 29, 2015  16:00-17:00  Birkhoff type ergodic theorem on homogeneous space Ronggang Shi  129-101 
Oct 25, 2018  16:00-17:00  Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients Renming Song  129-101 
Nov 07, 2013  08:00  The logarithmic singularities of the Green functions of the conformal powers of the Laplacian Raphael Ponge  129-101 
Mar 26, 2015  16:00-17:00  Q-curvature in conformal geometry Pak Tung Ho  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 
Sep 25, 2014  16:00-17:00  Idempotents and topologies Nico Spronk  129-101 
Sep 20, 2018  16:00-17:00  Cocycles over a minimal base and the spectra of Schrodinger operators Nhan Phu Chung  129-101 
Apr 12, 2018  16:00-17:00  Unique ergodicity for foliations file Nessim Sibony  129-101 
May 22, 2014  16:00-17:00  Recent progress on the Brascamp-Lieb inequality and applications Neal Bez  129-101 
Oct 31, 2013  16:00  Connes's Embedding Conjecture and its equivalent Narutaka Ozawa  129-101 
Apr 13, 2017  16:00-17:00  Convex and non-convex optimization methods in image processing Michael Ng  129-101 
May 08, 2014  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
May 07, 2015  16:00-17:00  The classification of fusion categories and operator algebras Masaki Izumi  129-101 
May 12, 2016  16:00-17:00  Quasi-homomorphisms into non-commutative groups Koji Fujiwara  129-101 
Apr 25, 2019  16:00-17:00  Number theoretic results in a family Kim, Henry  129-101 
Nov 01, 2018  16:00-17:00  A-infinity functor and topological field theory Kenji Fukaya  129-101 
Oct 02, 2014  16:00-17:00  Deformation spaces of Kleinian groups and beyond Kenichi Ohshika  129-101 
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 
May 13, 2021  16:00-17:00  Orbifold Lagrangian Floer theory Kaoru Ono  선택 
Apr 03, 2014  16:00-17:00  Noncommutative Surfaces Jens Hoppe  129-101