Vertical perimeter versus horizontal perimeter

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.