For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title: | Global Rigidity, Basic Geometry Questions Answered |

Seminar: | Center for Dynamics and Geometry Seminars |

Speaker: | Bob Connelly, Cornell |

Abstract: |

Suppose that you have a configuration of (labeled) points in front of you. Fix the distance between some pairs of the points in the configuration. Is there another non-congruent configuration with the corresponding pairs of labeled distances the same? It is possible to cook up some configurations, where it is probably impossible to tell the answer to this question. On the other hand, if you are willing to assume that the coordinates of the configuration are generic, there is a pleasant algorithm to answer this question in all dimensions. The ideas in this theory are inspired from structural engineering, but use some non-trivial theory from algebraic geometry and graph theory that have been developed in the last ten years or so. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 11 / 2010 |

Time: | 03:30pm - 05:30pm |