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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 05, 2023  16:00-17:00  Class field theory for 3-dimensional foliated dynamical systems Morishita Masanori  129-101 
Oct 31, 2013  16:00  Connes's Embedding Conjecture and its equivalent Narutaka Ozawa  129-101 
May 22, 2014  16:00-17:00  Recent progress on the Brascamp-Lieb inequality and applications Neal Bez  129-101 
Apr 12, 2018  16:00-17:00  Unique ergodicity for foliations file Nessim Sibony  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 
Sep 25, 2014  16:00-17:00  Idempotents and topologies Nico Spronk  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 
Mar 26, 2015  16:00-17:00  Q-curvature in conformal geometry Pak Tung Ho  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 
Oct 25, 2018  16:00-17:00  Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients Renming Song  129-101 
Oct 29, 2015  16:00-17:00  Birkhoff type ergodic theorem on homogeneous space Ronggang Shi  129-101 
Apr 30, 2015  16:00-17:00  Green’s function for initial-boundary value problem Shih-Hsien Yu  129-101 
Mar 31, 2016  16:00-17:00  <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world Stanley Osher  129-101 
Sep 10, 2015  16:00-17:00  Nonlocal generators of jump type Markov processes Walter Hoh  129-101 
Sep 22, 2016  16:00-17:00  The phase retrieval problem Yang Wang  129-101 
Mar 15, 2018  16:00-17:00  Anomalous diffusions and fractional order differential equations Zhen-Qing Chen  129-101 
May 28, 2015  16:00-17:00  Avoidable collections of balls and minimal thinness for jump processes Zoran Vondraček  129-101 
Apr 17, 2014  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
Apr 05, 2018  16:00-17:00  Conformal field theory in mathematics 강남규  129-101 
Sep 07, 2017  16:00-17:00  Periodic orbits in symplectic geometry 강정수  129-101