Stability for the relative isoperimetric inequality inside an open, convex cone

Series: 
Math Physics Seminar
Monday, April 30, 2012 - 12:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Texas
Organizer: 
The relative isoperimetric inequality inside an open, convex cone C states that under a volume constraint, the ball intersected the cone minimizes the perimeter inside C. In this talk, we will show how one can use optimal transport theory to obtain this inequality, and we will prove a corresponding sharp stability result. This is joint work with Alessio Figalli.