Join the Department of Mathematics, Applied Mathematics, and Statistics (MAMS) on November 9, 2018 for a Colloquium given by Dimitry Faifman, University of Toronto. Dr. Faifman will speak on “Weyl’s Principle, Valuations, and Pseudo-Riemannian Manifolds.” The colloquium will take place in Yost 306, from 3:15–4:15 PM.
Abstract: H. Weyl noticed that when a Riemannian manifold is embedded isometrically in Euclidean space, the volume of the epsilon tube is independent of the second fundamental form. I will describe how Weyl’s theorem fits into the modern theory of valuations of manifolds, and then discuss its extension to pseudo-Riemannian manifolds.
Based on a joint work in progress with A. Bernig and G. Solanes.