Compactification of the configuration space for constant curvature conical metrics

Wednesday, October 4, 2017 -
3:00pm to 4:00pm
 In this joint work with Rafe Mazzeo, we would like 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 constant curvature conical metrics has a nice compactification as the cone points coalesce. This is one key ingredient to understand the full moduli space of such metrics with positive curvature and cone angles bigger than $2\pi$.  
Xuwen Zhu
Stanford University
Event Location: 
Fine Hall 314