Seminars & Colloquia Calendar
Existence of infinitely many minimal hypersurfaces in closed manifolds
Antoine Song, Princeton University
Location: Hill 705
Date & time: Tuesday, 06 November 2018 at 1:40PM - 3:00PM
Abstract: In the early 80's, Yau conjectured that in a closed > 3-manifold there should be infinitely many immersed minimal surfaces. After presenting previous results on this question and recalling the min-max methods developed by Marques-Neves, I will explain how to extend these methods to prove Yau's conjecture: in any closed manifold of dimension between 3 and 7, there exists infinitely many closed embedded minimal hypersurfaces.