Zimmer’s conjecture for some non-split Lie groups.

Group Actions and Dynamics
Event time: 
Monday, February 18, 2019 - 4:15pm
Zhiyuan Zhang
Speaker affiliation: 
Event description: 

We will discuss Zimmer’s conjecture on the actions of lattices in higher rank Lie groups on manifolds of small dimension. This conjecture is recently proved by Aaron Brown, David Fisher and Sebastian Hurtado for real split simple Lie groups. We discuss the proof of  this conjecture for simple complex Lie groups. We also give significant improvements for the dimensional bounds for many other non-split Lie groups. This is a joint work with Jinpeng An and Aaron Brown.