Recent progress in the Zimmer program
Dynamical Systems
2019-02-26 v2 Differential Geometry
Group Theory
Geometric Topology
Abstract
This paper can be viewed as a sequel to the author's long survey on the Zimmer program \cite{F11} published in 2011. The sequel focuses on recent rapid progress on certain aspects of the program particularly concerning rigidity of Anosov actions and Zimmer's conjecture that there are no actions in low dimensions. Some emphasis is put on the surprising connections between these two different sets of developments and also on the key connections and ideas for future research that arise from these works taken together.
Keywords
Cite
@article{arxiv.1711.07089,
title = {Recent progress in the Zimmer program},
author = {David Fisher},
journal= {arXiv preprint arXiv:1711.07089},
year = {2019}
}
Comments
This is an expository article that will appear in Bob Zimmer's selected papers. Version to appear. I may eventually update this further for more recent developments