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Topology/Geometry Seminar

Deformation theory of constant curvature conical metrics

Xuwen Zhu, Stanford

Location:  Hill 525
Date & time: Tuesday, 03 October 2017 at 3:30PM - 4:30PM

Abstract:  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?.

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