Differential Geometry Seminar: Lee Kennard (UCSB), 'Betti number bounds for positively curved manifolds with symmetry'

Event Date: 

Friday, February 15, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Lee Kennard

Email: kennard@math.ucsb.edu

Abstract: After reviewing a few topological classification results (up to diffeomorphism, homeomorphism, or homotopy equivalence) for manifolds admitting metrics with positive sectional curvature and large isometry groups, I will discuss a couple of new results on weaker invariants (e.g., Betti numbers and Euler characteristics) of such manifolds. In one case, we obtain a sharp calculation of the Euler characteristic. This is joint work with Manuel Amann (KIT).