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Lecturer 김성운
Dept. 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.

 

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List of Articles
Category Subject Dept. Lecturer
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Math Colloquia 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
Math Colloquia Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
Math Colloquia <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
Math Colloquia An introduction to hyperplane arrangements file 서울대 이승진
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
Math Colloquia Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
Math Colloquia <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces file 서울대학교 이우영
Math Colloquia Survey on a geography of model theory file 창원대학교 이정욱
Math Colloquia Averaging formula for Nielsen numbers file 서강대학교 이종범
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Math Colloquia Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
Math Colloquia Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
Math Colloquia Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
Math Colloquia Alice and Bob meet Banach and von Neumann file 서울대 이훈희
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
Math Colloquia Volume entropy of hyperbolic buildings file 서울대 임선희
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