Differential Geometry Seminar: Xin Zhou (MSRI), 'On the min-max hypersurface in manifold of positive Ricci curvature'

Event Date: 

Friday, October 11, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 6635 South Hall

Event Contact: 

Guofang Wei

Email: wei@math.ucsb.edu

In this talk, we will discuss the shape of the min-max minimal hypersurface produced by Almgren-Pitts corresponding to the fundamental class of a Riemannian manifold (M^{n+1},g) of positive Ricci curvature with 2 ? n ? 6. We characterize the Morse index, volume and multiplicity of this min-max hypersurface.