Geometry & Topology Seminar: "Laplacian Operator and Hyperbolic Geometry"

Abstract: The Laplacian operator acting on functions on a Riemannian manifold is an analytic operator invariant under isometry of the manifold. Its spectrum encodes much geometric information of the manifold. In this talk, I will start with some basic properties of Laplacian operator and hyperbolic geometry. Then I will talk about how they interact with each other beautifully. Time permitting, I will talk about some of my recent works. No background on Laplacian operator or hyperbolic geometry is assumed.  

Host: Yanli Song