For more information about this meeting, contact Dmitri Burago, Stephanie Zerby, John Roe.

Title: | “Rigidity of product structure and bi-Lipschitz homeomorphisms of Carnot groups” |

Seminar: | Geometry Luncheon Seminar |

Speaker: | Bruce Kleiner, Courant, NYU |

Abstract: |

There are many contexts in mathematics where one has a mapping between products, and one would like to know if the product structure must be respected by the map. For instance, in geometric group theory one may ask when a quasi-isometry f : H_1 x H_2 ——> G_1 x G_2 between products of groups must asymptotically look like a product of quasi-isometries, while in geometric mapping theory one may ask when bi-Lipschitz (or quasiconformal) homeomorphisms f : X_1 x X_2 —> Y_1 x Y_2 between products are necessarily product mappings. The focus of the lecture will be on the case of nilpotent groups, which turns out to have interesting variants even for mappings from R^n to itself. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 04 / 27 / 2016 |

Time: | 12:00pm - 01:30pm |