Topology Seminar: Bernhard Hanke

Scalar curvature measures the asymptotic volume growth of small balls in Riemannian manifolds. In the case of positive scalar curvature the growth rate is smaller than in the flat, euclidean case. Typical examples are round spheres of dimension at least two.

We will discuss the interplay of analytic, geometric and topological methods for the investigation of manifolds of positive scalar curvature.