David Degen, Karlsruhe Institute of Technology

Title: On the topology of moduli spaces of Ricci flat metrics

Abstract: I will show that the moduli space of Ricci flat
metrics on a K3 surface is simply connected and that it has
non-trivial higher homotopy groups. Furthermore, by considering
products of the K3 manifold with tori I will show that in any
dimension there are compact manifolds with non-flat Ricci flat metrics
whose moduli space is simply connected with non-trivial topology.