| 강연자 | 김기현 |
|---|---|
| 소속 | 서울대학교 |
| date | 2024-09-12 |
This talk concerns the problem of classifying long-term dynamics for critical evolutionary PDEs. I will first discuss what the critical PDEs are and soliton resolution for these equations. Building upon soliton resolution, I will further introduce the classification problem. Finally, I will also touch on a potential instability mechanism of finite-time singularities for some critical PDEs, suggesting the global existence of generic solutions.
The lace expansion in the past, present and future
<학부생을 위한 ɛ 강연> 색과 그래프: 그래프 색칠 문제의 매력과 도전
Regularity theory for nonlocal equations
Homogeneous dynamics and its application to number theory
On classification of long-term dynamics for some critical PDEs
Structural stability of meandering-hyperbolic group actions
Regularity for non-uniformly elliptic problems
From mirror symmetry to enumerative geometry
2023-2 Differential Geometry (서동휘)
2023-2 Minimal Surface Theory (이재훈)
2023-2 Long-time Behavior of PDE (임덕우)
2023-2 Mathematical Fluid Dynamics (김준하)
Universality of log-correlated fields
Maximal averages in harmonic analysis
2023-2 Generative Model(최재웅)
2023-2 Optimization Theory (박지선)
<학부생을 위한 ɛ 강연> 양자상태의 기하학
Class field theory for 3-dimensional foliated dynamical systems
Satellite operators on knot concordance
2023-2 Number Theory (권재성)
