Metrics of positive scalar curvature

Content / Literature / Recommended previous knowledge In the first part of the seminar we prove a theorem by Galatius, Madsen, Tillmann and Weiss which constructs a homotopy equivalence from the classifying space of a bordism category to the infinite loop space of a Thom spectrum. In further parts of the seminar -- whose exact content will be fixed during the seminar -- we then discuss work by Galatius, Randal-Williams, Ebert and Botvinnik which leads to the detection of many non-trivial homotopy groups in the space of positive scalar curvature metrics on a given compact manifold.