Special Session 13: 

Rigidity of group actions

Nhan Phu Chung
Sungkyunkwan University
Korea
Co-Author(s):    Yongle Jiang
Abstract:
In this talk, we will present Livsic theory of continuous (Holder) cocycles for group actions. In contrast to the map case, when the acting groups are higher rank, for certain systems we always have cocycle superrigidity without any assumptions of cocycles on periodic data.