Geometric Analysis and Topology Seminar
A dichotomy for minimal hypersurfaces in manifolds thick at infinity
Speaker: Antoine Song, Princeton University
Location: Warren Weaver Hall 202
Date: Wednesday, April 24, 2019, 11 a.m.
Synopsis:
From the solution of Yau's conjecture, it is known that there are infinitely many minimal hypersurfaces in closed manifolds of dimension between $3$ and $7$. What about non-compact manifolds? For manifolds which contain no non-compact finite volume connected complete minimal hypersurface (or "thick at infinity"), I will explain the following dichotomy: either there are infinitely many "saddle point" closed minimal hypersurfaces, or there is none.