https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 Jean V. Bellissard
소속 Georgia Institute of Technology, School of Mathematics and School of Physics
date 2014-03-20

After a review of various types of tilings and aperiodic materials, the notion of tiling space (or Hull) will be defined. The action of the translation group makes it a dynamical system. Various local properties, such as the notion of "Finite Local Complexity" or of "Repetitivity" will be interpreted in terms of the tiling space. The special case of quasicrystal will be described. In the second part of the talk, various tools will be introduced to compute the topological invariants of the tiling space. First the tiling space will be seen as an inverse limit of compact branched oriented manifolds (the Anderson-Putnam complex). Then various cohomologies will be defined on the tiling space giving rise to isomorphic cohomology groups. As applications, the "Gap Labeling Theorem" will be described, and some results for the main quasicrystal and simple tilings will be given.


Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Geometric Topology (김경로) file BK21 김경로
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Harmonic Analysis (이진봉) file 서울대학교 이진봉
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Low Demensional Topology (이동수) file QSMS 이동수
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Number Theory (김지구) file 이화여자대학교 김지구
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Probability Theory (조수빈) file 서울대학교 수리과학부 조수빈
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Regularity for PDEs (수미야) file 서울대학교 수미야
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Representation Theory(김영훈) file QSMS 김영훈
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Representation Theory(장일승) file 서울대학교 장일승
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Stochastic Analysis (이해성) file 서울대학교 수학연구소 이해성
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Algebraic Topology (송종백) file 고등과학원 송종백
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Cryptography (이기우) file 수리과학부 이기우
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Functional Analysis (Wang Xumin) file 수학연구소 Wang Xumin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Geometric Group Dynamics (서동균) file 수학연구소 서동균
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin) file BK21 Kalachand Shuin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Integrable Systems (Sylvain Carpentier) file QSMS Sylvain Carpentier
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Number Theory (이석형) file QSMS 이석형
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: PDE, Emergent Dynamics (안현진) file 수학연구소 안현진
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Probability, PDE (Ramil Mouad) file 수학연구소 Ramil Mouad
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic Topology (문지연) file 수학연구소 문지연
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic/Algebraic Geometry (좌동욱) file 고등과학원 좌동욱
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15