## Diff. Geom, Math. Phys., PDE Seminar: Xin Zhou

• Date: 04/11/2017
• Time: 15:30
Lecturer(s):
Xin Zhou, U.C. Santa Barbara
Location:

University of British Columbia

Topic:

Min-max minimal hypersurfaces with free boundary

Description:

I will present a joint work with Martin Li. Minimal surfaces with free boundary are natural critical points of the area functional in compact smooth manifolds with boundary. In this talk, I will describe a general existence theory for minimal surfaces with free boundary. In particular, I will show the existence of a smooth embedded minimal hypersurface with free boundary in any compact smooth Euclidean domain. The minimal surfaces with free boundary were constructed using the min-max method. I will explain the basic ideas behind the min-max theory as well as our new contributions.

Other Information:

Location: ESB 2012