|Topic:||Vertical perimeter versus horizontal perimeter|
|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.