Colloquium abstracts

Harish Seshadri
Indian Institute of Science, Bangalore, India
April 2, 2009

Sphere Theorems:  Sphere theorems give curvature conditions under which a Riemannian n-manifold is diffeomorphic to the n-sphere. Recently two major sphere theorems were proved by Bohm-Wilking and Brendle-Schoen. I will try to give a rough outline of the proofs and describe some interesting consequences.