DG-MP-PDE Seminar: Martin Man-chu Li
- Date: 11/15/2011
- Time: 15:30
University of British Columbia
Free boundary problem for embedded minimal surfaces
Abstract
For any smooth compact Riemannian 3-manifold with boundary, we prove
that there always exists a smooth, embedded minimal surface with
(possibly empty) free boundary. We also obtain a priori upper bound on
the genus of such minimal surfaces in terms of the topology of the
ambient compact 3-manifold. An interesting note is that no convexity
assumption on the boundary is required. In this talk, we will describe
the min-max construction for the free boundary problem, and then we will
sketch a proof of the existence part of the theory.
WMAX 110 at 3:30pm (schedule tentative)
Please note: the schedule and time are tentative.
For more infromation please visit UBC Mathematics Department