Geometry and Topology Seminar 2019-2020
|August 29||Yuanqi Wang||Liouville theorem for complex Monge-Ampere equations with conic singularities.||Wang|
|September 12||Chris Davis (UW-Eau Claire)||L2 signatures and an example of Cochran-Harvey-Leidy||Maxim|
|September 19||Ben Knudsen (Northwestern)||TBA||Ellenberg|
|October 31||Jing Tao (Oklahoma)||TBA||Kent|
Liouville theorem for complex Monge-Ampere equations with conic singularities.
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 Kähler-Ricci flat metrics. We also discuss various applications of this Liouville theorem to conic Kähler geometry.
Chris Davis (UW-Eau Claire)
Ben Knudsen (Northwestern)
Jing Tao (Oklahoma)