We will talk about rigidity theorems for smooth actions of a higher rank lattice $\Gamma$ on compact manifolds following the philosophy of the Zimmer program. Previously many global rigidity phenomena are known due to the presence of "higher rank" with "property (T)" on the lattice side, and "Anosov" on the dynamics side. In this talk, we will discuss two global rigidity theorems that relax each condition. The main ingredients are cocycle superrigidity and its generalizations.

Zoom link: https://iu.zoom.us/j/661711533?pwd=RTFVTjMrQ1pYTCtIZzIvVGVvODV2QT09
password is 076877 if needed. Speaker(s): Homin Lee (Indiana University)