Colloquium: "Curvature of manifolds with density"
Abstract: A weighted Riemannian manifold is a Riemannian manifold equipped with a (variable) density function. For example, a surface with a positive function that describes the density of the material that makes up the surface. Manifolds with density come up recently in a number of areas in geometry, analysis, and mathematical physics. This motivates a fuller development of a theory of curvature bounds for manifolds with density. In this talk, I'll describe some of the places where manifolds with density come up and some recent attempts to understand their curvature.
Host: John McCarthy
Tea @ 3:45 in room 200