Riemannian Geometry

This is a collection of lectures designed to promote research activity in Riemannian geometry by a select group of internationally established researchers. They discuss and present current developments in a selection of contemporary topics in Riemannian geometry including: basic notions of volume and entropy and the difficult and deep relations of these invariants to curvature; a survey of recent results on the flexibility of negative Ricci and scalar curvatures; LP
cohomology; and curvature inequalities.