Colloquium
3:00 p.m., Monday, Sept. 24
Math 100
Ailana Fraser
Brown University
The free boundary problem for minimal disks and applications
In modern Riemannian geometry, minimal surfaces have proven to
have powerful and farreaching 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 SacksUhlenbeck
and MicallefMoore on existence of minimal twospheres.
We will also describe applications of this theory to convex
domains, manifolds of positive isotropic curvature and
holomorphic curves.
