Analysis Seminar | |

Topic: | Vertical perimeter versus horizontal perimeter |

Speaker: | Assaf Naor |

Affiliation: | Princeton University; Member, School of Mathematics |

Date: | Wednesday, March 21 |

Time/Room: | 1:30pm - 2:30pm/Simonyi Hall 101 |

We will show that the appropriately-defined vertical perimeter of a measurable subset of the Heisenberg group is at most a constant multiple of its horizontal (Heisenberg) perimeter. This isoperimetric-type inequality exhibits different behavior in dimension 3 and 5, and it has a variety of applications to several areas.

Joint work with Robert Young.