Spaces and Moduli Spaces of Nonnegatively Curved Riemannian Metrics

Abstract:

I will report on general results and open questions about spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sectional curvature on closed and open manifolds, and, in particular, the first classes of manifolds for which these spaces have non-trivial rational homotopy, homology and cohomology groups.