GEOMETRY/DYNAMICAL SYSTEMS SEMINAR | |

Topic: | Lipschitz Maps From Spaces With Many Rectifiable Curves |

Speaker: | Jeff Cheeger |

Affiliation: | Courant Institute |

Date: | Tuesday, February 23 |

Time/Room: | 4:00pm - 5:00pm/S-101 |

We will survey results (partly joint with Kleiner, and with Kleiner and Naor) on possibly fractal metric spaces which in a suitable sense have many rectifiable curves. We will try to cover: differentiable structure, a bi-Lipschitz nonembedding theorem for Banach space targets with the Radon-Nikodym Property, the example of Heisenberg group with its Carnot-Caratheodory metric, a quantitative bi-Lipschitz nonembedding theorem for the Heisenberg group in $L_1$ and an application to theoretical computer science.