컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0319 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Geometric Group Theory and Dynamics of Group Actions (GT-1) |
| 영문제목 (Title(Eng.)) |
Rigidity for group actions |
| 저자(Author(s)) |
Nhan-Phu Chung1, Yongle Jiang2, Keonhee Lee3 Sungkyunkwan University1, State University of New York at Buffalo2, Chungnam National University3 |
| 초록본문(Abstract) | In this talk, we will present certain rigidity results for group actions on compact spaces. In the first part, we will provide a new characterization of one end groups via cocycle superrigidity of their full shifts. As a consequence, we have an application in continuous orbit equivalence rigidity. In the second part, we prove that if an action of a finitely generated group is expansive and has the pseudo-orbit tracing property then it is C^0 local rigid. A new characterization of subshifts of finite type over finitely generated groups in term of pseudo-orbit tracing property is also mentioned. The first part is joint with Yongle Jiang and the second part is joint work with Keonhee Lee. |
| 분류기호 (MSC number(s)) |
37A20, 37C85 |
| 키워드(Keyword(s)) | cocycle superrigidity, groups with one end, subshifts of finite type, pseudo-orbit tracing property, expansiveness, local rigid |
| 강연 형태 (Language of Session (Talk)) |
English |