# Groups acting on manifolds: around the Zimmer program - Mathematics > Dynamical Systems

Abstract: This paper is a survey on the {\em Zimmer program}. In it-s broadest form,this program seeks an understanding of actions of large groups on compactmanifolds. The goals of this survey are $1$ to put in context the originalquestions and conjectures of Zimmer and Gromov that motivated the program,$2$ to indicate the current state of the art on as many of these conjecturesand questions as possible and $3$ to indicate a wide variety of open problemsand directions of research.

Author: David Fisher

Source: https://arxiv.org/