# Measures on spaces of Riemannian metrics

 Joint IAS/PU Geometry Seminar Topic: Measures on spaces of Riemannian metrics Speaker: Dmitry Jakobson Affiliation: McGill University Date: Monday, July 21 Time/Room: 4:00pm - 5:00pm/S-101 Video Link: http://video.ias.edu/pisgs/2014/0721-DmitryJakobson

This is joint work with Y. Canzani, B. Clarke, N. Kamran, L. Silberman and J. Taylor. We construct Gaussian measure on the manifold of Riemannian metrics with the fixed volume form. We show that diameter and Laplace eigenvalue and volume entropy functionals are all integrable with respect to our measures. We also compute the characteristic function for the $L^2$ (Ebin) distance from a random metric to the reference metric.