https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
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.

 

Atachment
첨부 '1'
  1. Survey on a geography of model theory

    In this survey talk, we will explore a geography of Model Theory under the guidance of Classification Theory. First, we review basic first-order logic and several dividing lines developed in Classification Theory. Second, we will focus on C...
    Category수학강연회 소속창원대학교 강연자이정욱
    Read More
  2. The lace expansion in the past, present and future

    The lace expansion is one of the few methods to rigorously prove critical behavior for various models in high dimensions. It was initiated by David Brydges and Thomas Spencer in 1985 to show degeneracy of the critical behavior for weakly se...
    Category수학강연회 소속Hokkaido University 강연자Akira Sakai
    Read More
  3. <학부생을 위한 ɛ 강연> 색과 그래프: 그래프 색칠 문제의 매력과 도전

    그래프 색칠 문제는 그래프 이론에서 중요한 주제로, 인접한 두 정점이 같은 색을 가지지 않도록 그래프를 색칠하는 방법을 연구합니다. 이는 단순한 퍼즐처럼 보일 수 있지만, 수학적 깊이와 다양한 응용 가능성을 지니고 있습니다. 이번 강연에서는 그래프 ...
    Category수학강연회 소속아주대학교 강연자박보람
    Read More
  4. Regularity theory for nonlocal equations

    Nonlocal equations, often modeled using the fractional Laplacian, have received significant attention in recent years. In this talk, we will briefly overview how the classical regularity theory for second-order (elliptic) PDEs (in divergenc...
    Category수학강연회 소속한양대학교 강연자김민현
    Read More
  5. Homogeneous dynamics and its application to number theory

    Homogeneous dynamics, the theory of flows on homogeneous spaces, has been proved useful for certain problems in Number theory. In this talk, we will explain what kind of geometry and dynamics we need to solve certain number theoretic questi...
    Category수학강연회 소속서울대학교 강연자임선희
    Read More
  6. On classification of long-term dynamics for some critical PDEs

    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 in...
    Category수학강연회 소속서울대학교 강연자김기현
    Read More
  7. Structural stability of meandering-hyperbolic group actions

    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 a...
    Category수학강연회 소속제주대학교 강연자김성운
    Read More
  8. Regularity for non-uniformly elliptic problems

    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 characte...
    Category수학강연회 소속경북대학교 강연자오제한
    Read More
  9. From mirror symmetry to enumerative geometry

    There have been at least two surprising events to geometers in 80-90s that they had to admit physics really helps to solve classical problems in geometry. Donaldson proved the existence of exotic 4-dimensional Euclidean space using gauge th...
    Category수학강연회 소속서울대학교 강연자오정석
    Read More
  10. 2023-2 Differential Geometry (서동휘)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자서동휘
    Read More
  11. 2023-2 Minimal Surface Theory (이재훈)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자이재훈
    Read More
  12. 2023-2 Long-time Behavior of PDE (임덕우)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자임덕우
    Read More
  13. 2023-2 Mathematical Fluid Dynamics (김준하)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자김준하
    Read More
  14. Universality of log-correlated fields

    A feature of log-correlation naturally appears in diverse objects such as random matrices, random discrete geometries and Riemann zeta function. In this talk, I will give an overview on the theory of log-correlated fields and talk about rec...
    Category수학강연회 소속KAIST 강연자남경식
    Read More
  15. Maximal averages in harmonic analysis

    This talk concerns maximal functions given by averages over some family of geometric objects. I will discuss the boundedness of those maximal functions on the Lebesgue spaces and its role in problems of harmonic analysis.
    소속서울대학교 강연자이상혁
    Read More
  16. 2023-2 Generative Model(최재웅)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS AI 기초과학센터 강연자최재웅
    Read More
  17. 2023-2 Optimization Theory (박지선)

    CategoryBK21 FOUR Rookies Pitch 소속수리과학부 강연자박지선
    Read More
  18. <학부생을 위한 ɛ 강연> 양자상태의 기하학

    고전컴퓨터는 모든 정보를 이진수로 표현하여 계산을 0과 1의 전기신호로 구현하는데 반해서 양자컴퓨터는 정보를 벡터(양자상태)로 표현하여 유니터리 변환을 통해 계산을 수행한다. 양자컴퓨터가 관심을 끄는 이유는 얽힌 양자상태 덕분에 빠른 계산이 가능...
    Category수학강연회 소속고등과학원 강연자김영훈
    Read More
  19. Class field theory for 3-dimensional foliated dynamical systems

    I will talk about arithmetic topology, in particular, some issues related to class field theory for 3-dimensional foliated dynamical systems.
    Category수학강연회 소속Kyushu University 강연자Morishita Masanori
    Read More
  20. Satellite operators on knot concordance

    Concordance is a relation which classifies knots in 3-space via surfaces in 4-space, and it is closely related with low dimensional topology. Satellite operators are one of the main tools in the study of knot concordance, and it has been wi...
    Category수학강연회 소속건국대학교 강연자김태희
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Next
/ 16