地点：海纳苑2幢203室

时间：5月12日，16:00 - 17:30

报告人：许地生 Disheng Xu（大湾区大学）

摘要:  

Pretalk: Dynamical systems and group actions

Research talk:  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)