Analysis Seminar

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

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.
Date: Monday, March 08, 2021
Time: 4:10pm
Where: Zoom link TBA (contact organizer)
Contact Person: Prof. Jared Wunsch
Contact email: jwunsch@math.northwestern.edu
Contact Phone: 847-491-5580
Copyright © 1997-2024 Department of Mathematics, Northwestern University.