**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.