Title    name
2018 KAIST 세미나
  Speaker Chung Nhân Phú
  Date 2018-05-16
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : In this talk, we present certain rigidity results for group actions via geometric group theory. We will prove a topological version of Popa's measurable cocycle superrigidity theorem for full shifts. In the first part, we provide a new characterization of one end groups via continuous cocycle superrigidity of their full shifts. As a consequence, we have an application in continuous orbit equivalence rigidity. In the second part, we show that every Holder continuous cocycle for the full shifts of every finitely generated group G that has one end, undistorted elements and sub-exponential divergence function is rigidity. This is joint work with Yongle Jiang.