|Location:||MSRI: Baker Board Room|
General Propaganda The general aim of this working group is to consider geometric and analytic problems on non-compact manifolds with complicated asymptotic structures, but where the complication can be dealt with in inductive fashion. Examples include stratified spaces (in particular projective varieties), several types of gauge-theoretic moduli spaces, configuration spaces and moduli spaces of Riemann surfaces.
In this casual and friendly talk, I will attempt to do 3 things:
1) Remind attendees of some simple examples of iterative geometric structures which are also incomplete Riemannian manifolds.
2) Discuss the simplest (non-iterative) example of a Riemann moduli space with Weil-Petersson (WP) geometry and how one can approach analysis of elliptic operators on these spaces
3) Describe general WP geometry and say something, anything, about analysis on these spaces.No Notes/Supplements Uploaded No Video Files Uploaded