Corpus ID: 16364393

Groups acting on manifolds: around the Zimmer program

@article{Fisher2008GroupsAO,
  title={Groups acting on manifolds: around the Zimmer program},
  author={D. Fisher},
  journal={arXiv: Dynamical Systems},
  year={2008}
}

• D. Fisher
• Published 2008
• Mathematics
• arXiv: Dynamical Systems

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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 compact manifolds. The goals of this survey are $(1)$ to put in context the original questions and conjectures of Zimmer and Gromov that motivated the program, $(2)$ to indicate the current state of the art on as many of these conjectures and questions as possible and $(3)$ to indicate a wide variety of open problems and directions of research.