EVENT DETAILS AND ABSTRACT

Title: Real Weil-Petersson metrics
Speaker: Richard Melrose
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

A real Weil-Petersson metric on a manifold with boundary, which is the total space of a circle bundle, has leading term $dx^2+x^6\alpha ^2+h.$ Here $\alpha$ is a connection on the bundle, $h$ is a metric on the base and $x$ is a boundary defining function. I will describe the Hodge theory of such a metric and joint work with Jesse Gell-Redman on the extension to corners of codimension two and higher. In particular this applies to the Weil-Petersson metric on Riemann moduli spaces.