Speaker: Bernhard Hanke (U. Augsburg)

Title: Positive scalar curvature: Existence and classification

Abstract: The volumes of balls in curved spaces are in general different from the volumes of
balls of the same radius in flat, Euclidean space. This deviation leads to the
notion of scalar curvature. If the scalar curvature is positive, the local geometry of the
underlying space is similar, in a very rough sense, to the spherical case.

We will give an overview of questions, techniques and results linked with the
investigation of manifolds of positive scalar curvature.