Cocycle rigidity of parabolic actions in SL(n, R), n3

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, October 15, 2012 - 12:30pm to 1:30pm
Location: 
431 DL
Speaker: 
Zhenqi Wang
Speaker affiliation: 
Yale
Event description: 

For traditional horocycle flow in SL(2, R), the detailed analysis of the cohomological equation Uf=g was given by Flaminio-Forni. Their result was further applied in some rank-one models to obtain cocycle rigidity for higher rank parobolic actions. In this talk I will discuss a general result about cocycle rigidity of parabolic actions and will show how to use representation tool in higher rank Lie groups.