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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
Sep 29, 2022  16:00-17:00  Contact topology of singularities and symplectic fillings 권명기  129-101 
Oct 06, 2022  16:00-17:00  Elliptic equations with singular drifts in critical spaces 김현석  129-101 
Oct 13, 2022  16:00-17:00  Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications 신연종  129-101 
Nov 03, 2022  16:00-17:00  Counting number fields and its applications 조재현  129-101 
Nov 10, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> 수학과 보험산업 file 유신옥  129-101 
Nov 17, 2022  16:00-17:00  <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision 현윤석  129-101 
Nov 24, 2022  16:00-17:00  Contact instantons and entanglement of Legendrian links 오용근  27-220 
Dec 01, 2022  16:00-17:00  Birational Geometry of varieties with effective anti-canonical divisors 최성락  129-101 
Mar 16, 2023  16:00-17:00  <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학! 김재경  129-101 
Mar 23, 2023  16:00-17:00  Study stochastic biochemical systems via their underlying network structures 김진수  129-101 
Apr 06, 2023  16:00-17:00  Vlasov-Maxwell equations and the Dynamics of Plasmas 장진우  129-101 
Apr 13, 2023  16:00-17:00  Toward bridging a connection between machine learning and applied mathematics 홍영준  129-101 
Apr 20, 2023  16:00-17:00  <학부생을 위한 ɛ 강연> 평행선 공리에서 파노 공간까지 황준묵  129-101 
May 04, 2023  16:00-17:00  Introduction to Causal Inference (인과추론 소개) 이권상  129-101 
May 11, 2023  16:00-17:00  Descent in derived algebraic geometry 조창연  129-101 
May 18, 2023  16:00-18:00  Equations defining algebraic curves and their tangent and secant varieties 박진형  129-101 
May 25, 2023  16:00-17:00  Entropy of symplectic automorphisms 김준태  129-101 
Jun 01, 2023  16:00-17:00  <정년퇴임 기념강연> 작용소대수와 양자정보이론 계승혁  129-101 
Sep 14, 2023  16:00-17:00  Real eigenvalues of asymmetric random matrices 변성수  129-101 
Sep 21, 2023  16:00-17:00  Satellite operators on knot concordance 김태희  129-101