Math Colloquia

4082

Date | Sep 28, 2017 |
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Speaker | 이경배 |

Dept. | University of Oklahoma |

Room | 129-101 |

Time | 16:00-17:00 |

There are three Bieberbach theorems on flat Riemannian manifolds; characterization, rigidity and finiteness. These extend to almost flat manifolds. We discuss characterization, rigidity and finiteness of infra-nilmanifolds (almost flat manifolds). We apply these to construction of aspherical spaces, calculation of fixed point theory invariants. We will start with 3-dimensional manifolds, their fiber structures. Also we discuss some specific examples of nilpotent Lie groups.

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