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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
Dec 04, 2014  16:00-17:00  Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology 오용근  129-101 
Nov 20, 2014  16:00-17:00  High dimensional nonlinear dynamics 도영해  129-101 
Nov 11, 2014  15:30-16:30  The "absorbing" method: Is laziness paying off? Endre Szemerédi  129-101 
Nov 06, 2014  16:00-17:00  What is model theory? 김병한  129-101 
Oct 30, 2014  16:00-17:00  Essential dimension of simple algebras 백상훈  129-101 
Oct 23, 2014  16:00-17:00  Restriction theorems for real and complex curves 박종국  129-101 
Oct 16, 2014  16:00-17:00  정교민 (서울대학교 전기공학부)Recommendation system and matrix completion: SVD and its applications (* 학부생을 위한 ɛ강연) 정교민  129-101 
Oct 02, 2014  16:00-17:00  Deformation spaces of Kleinian groups and beyond Kenichi Ohshika  129-101 
Sep 25, 2014  16:00-17:00  Idempotents and topologies Nico Spronk  129-101 
Sep 11, 2014  16:00-17:00  특수 복소 선형군의 불변 다항식 김상집  129-101 
May 29, 2014  16:00-17:00  On property (RD) Irine Peng  129-101 
May 22, 2014  16:00-17:00  Recent progress on the Brascamp-Lieb inequality and applications Neal Bez  129-101 
May 15, 2014  16:00-17:00  Existence of positive solutions for phi-Laplacian systems file 이용훈  129-101 
May 08, 2014  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
May 01, 2014  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
Apr 17, 2014  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
Apr 10, 2014  16:00-17:00  Categorification of Donaldson-Thomas invariants 김영훈  129-101 
Apr 03, 2014  16:00-17:00  Noncommutative Surfaces Jens Hoppe  129-101 
Mar 27, 2014  16:00-17:00  The Shape of Data Gunnar Carlsson  129-101 
Mar 20, 2014  16:00-17:00  The Topology of Tiling Spaces Jean Bellissard  129-101