Bay Area Microlocal Analysis Seminar: Deformation of constant curvature conical metrics

Seminar | March 13 | 4:10-5 p.m. | 740 Evans Hall

 Xuwen Zhu, Stanford

 Department of Mathematics

In this joint work with Rafe Mazzeo, we aim to understand the deformation theory of constant curvature metrics with prescribed conical singularities on a compact Riemann surface. We construct a resolution of the configuration space, and prove a new regularity result that the family of such conical metrics has a nice compactification as the cone points coalesce. This is a key ingredient of understanding the full moduli space of such metrics with positive curvature and cone angles bigger than \(2\pi \).