강연영상 6 페이지 > 서울대학교 수리과학부

Structural stability of meandering-hyperbolic group actions

수학강연회 | 강연자 : 김성운 | 소속 : 제주대학교

Sullivan sketched a proof of his structural stability theorem for differentiabl group actions satisfying certain expansion-hyperbolicity axioms. We relax Sullivan’s axioms and introduce a notion of meandering hyperbolicity for group actions on geodesic metric spaces. This generalization is substantial enough to encompass actions of certain nonhyperbolic groups, such as actions of uniform lattices in semisimple Lie groups on flag manifolds. At the same time, our notion is sufficiently robust, and we prove that meandering-hyperbolic actions are still structurally stable. We also prove some basic results on meandering-hyperbolic actions and give other examples of such actions. This is a joint work with Michael Kapovich and Jaejeong Lee.

Regularity for non-uniformly elliptic problems

수학강연회 | 강연자 : 오제한 | 소속 : 경북대학교

In this talk, we investigate some regularity results for non-uniformly elliptic problems. We first present uniformly elliptic problems and the definition of non-uniform ellipticity. We then introduce a double phase problem which is characterized by the fact that its ellipticity rate and growth radically change with the position. We show gradient Hölder continuity and Calderón-Zygmund type estimates for distributional solutions to double phase problems in divergence form. We next introduce a general class of degenerate/singular fully nonlinear elliptic equations which covers the problems of double phase type. We provide C^1 regularity under minimal assumptions on associated operators whose ellipticity may degenerate or blow up along a region where the gradient of a viscosity solution vanishes.

Signed Graph Theory : Extensions & Applications

BK21 FOUR Rookies Pitch | 강연자 : 허철원 | 소속 : KIAS

What a colorful world : a biased personal introduction to discrete Geometry

BK21 FOUR Rookies Pitch | 강연자 : 이승훈 | 소속 : KAIST

Graphs, Surfaces, and their Symmetries

BK21 FOUR Rookies Pitch | 강연자 : 곽상훈 | 소속 : KIAS

Introduction to Poincare-Einstein Manifolds

BK21 FOUR Rookies Pitch | 강연자 : 이상훈 | 소속 : KIAS

Collective Dynamicsand Spectral Analysis

BK21 FOUR Rookies Pitch | 강연자 : Wang Xinyu | 소속 : 서울대학교

Harmonic Analysis

BK21 FOUR Rookies Pitch | 강연자 : 오정태 | 소속 : 서울대학교

Machine Learning Meets Scientific Computing

특별강연 | 강연자 : 홍영준 | 소속 : KAIST

High-temperature Probability Theroy

BK21 FOUR Rookies Pitch | 강연자 : 박지운 | 소속 : 공군사관학교

1
2
3
4
5
6
7
8
9
10