# Non-Local Minimal surfaces

 GEOMETRIC PDE SEMINAR Topic: Non-Local Minimal surfaces Speaker: Jean-Michel Roquejoffre Affiliation: Institut de Mathematiques, Universite Paul Sabatier Date: Tuesday, January 20 Time/Room: 3:30pm - 4:30pm/S-101

We discuss the local properties of the boundaries of sets whose indicator function is a local minimizer of a Sobolev norm of exponent strictly less than 1/2. It turns out that one devise a regularity that parallels very much that of de Giorgi for minimal surfaces.