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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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2018-09-20  16:00-17:00  Cocycles over a minimal base and the spectra of Schrodinger operators Nhan Phu Chung  129-101 
2014-09-25  16:00-17:00  Idempotents and topologies Nico Spronk  129-101 
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2015-03-26  16:00-17:00  Q-curvature in conformal geometry Pak Tung Ho  129-101 
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2018-10-25  16:00-17:00  Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients Renming Song  129-101 
2015-10-29  16:00-17:00  Birkhoff type ergodic theorem on homogeneous space Ronggang Shi  129-101 
2015-04-30  16:00-17:00  Green’s function for initial-boundary value problem Shih-Hsien Yu  129-101 
2016-03-31  16:00-17:00  <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world Stanley Osher  129-101 
2015-09-10  16:00-17:00  Nonlocal generators of jump type Markov processes Walter Hoh  129-101 
2016-09-22  16:00-17:00  The phase retrieval problem Yang Wang  129-101 
2018-03-15  16:00-17:00  Anomalous diffusions and fractional order differential equations Zhen-Qing Chen  129-101 
2015-05-28  16:00-17:00  Avoidable collections of balls and minimal thinness for jump processes Zoran Vondraček  129-101 
2014-04-17  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
2018-04-05  16:00-17:00  Conformal field theory in mathematics 강남규  129-101