A mountain-pass theorem for minimal hypersurfaces in hyperbolic space

Junfu Yao, Johns Hopkins University
Fine Hall 322

*Please note the day and time for this in-person talk*

I will discuss a min-max theory developed for certain minimal hypersurfaces in hyperbolic space. In particular, we show that given two strictly stable minimal hypersurfaces that have the same asymptotic behavior, there is a new one trapped between the two. I will also discuss a topological uniqueness result as its application.