Time：15:00-16:30, Monday, May 11 2026
Venue: E14-212
Speaker：Disheng Xu, Great Bay University
Title：The Zimmer program for hyperbolic actions
Abstract：Zimmer's superrigidity theorems on higher rank Lie groups and their lattices launched a program of study aiming to classify actions of semisimple Lie groups and their lattices, known as the Zimmer program. When the group is too large relative to the dimension of the phase space, the Zimmer conjecture predicts that the actions are all virtually trivial. At the other extreme, when the actions exhibit enough regular behavior, the actions should all be of algebraic origin. I will talk about recent progress on the Zimmer program, joint work with D. Damjanovic, R. Spatzier and K. Vinhage. (Will be self-contained)
