Measures on spaces of Riemannian metrics

Dmitry Jakobson
McGill University
July 21, 2014
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.

The Gopakumar-Vafa Formula

Edward Witten
Charles Simonyi Professor, School of Natural Sciences
June 19, 2014

The Amplituhedron

Nima Arkani-Hamed
Professor, School of Natural Sciences
June 17, 2014

Topological String Theory (2 of 3)

Hirosi Ooguri
California Institute of Technology
June 19, 2014