Differential Geometry Seminar: Yuanqi Wang (UCSB), 'Liouville theorem for complex Monge-Ampere equations with conic singularities II'

Event Date: 

Friday, February 28, 2014 -
3:00pm to 4:00pm

Event Location: 

  • 6635 South Hall

Abstract:

Following Calabi, Pogorelov, Evans-Krylov-Safanov, and Trudinger's pioneer work on interior regularities and liouville theorems for Monge-Ampere equations, we prove the Liouville theorem for conic K"ahler-Ricci flat metrics. We
also discuss various applications of this Liouville theorem to conic K"ahler geometry.