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수학강연회
Date 2021-09-30
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.

제목
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2014-04-10  16:00-17:00  Categorification of Donaldson-Thomas invariants 김영훈  129-101 
2014-04-17  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
2014-05-01  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
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2014-11-06  16:00-17:00  What is model theory? 김병한  129-101 
2014-11-20  16:00-17:00  High dimensional nonlinear dynamics 도영해  129-101 
2015-03-19  16:00-17:00  Zeros of the derivatives of the Riemann zeta function 기하서  129-101 
2015-05-07  16:00-17:00  The classification of fusion categories and operator algebras Masaki Izumi  129-101 
2014-05-08  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
2014-05-29  16:00-17:00  On property (RD) Irine Peng  129-101 
2014-09-25  16:00-17:00  Idempotents and topologies Nico Spronk  129-101