Colloquium: "Curvature of manifolds with density"

William Wylie, Syracuse University

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