3:00 p.m., Monday, Sept. 24
The free boundary problem for minimal disks and applications
In modern Riemannian geometry, minimal surfaces have proven to
have powerful and far-reaching applications related to the
interconnection between the geometry and topology of manifolds.
This will be a survey talk in which we will describe the
variational theory for the free boundary problem for minimal
disks. This is related to celebrated work of Sacks-Uhlenbeck
and Micallef-Moore on existence of minimal two-spheres.
We will also describe applications of this theory to convex
domains, manifolds of positive isotropic curvature and