Abstract:
In this talk I will discuss an estimate on the index and number of “non-minimizing” singular points for one parameter min-max minimal hypersurfaces in 8-dimensional compact manifolds. As a consequence I will discuss the generic existence of smooth embedded minimal hypersurfaces in 8-dimensional compact manifolds. This joint work with Otis Chodosh (Stanford) and Yevgeny Liokumovich (University of Toronto).