Seminars & Colloquia Calendar
Bergman and Suita metrics
Xin Dong, University of California, Irvine
Location: Hill 705
Date & time: Friday, 08 March 2019 at 10:30AM - 11:30AM
Abstract. For any open Riemann surface XX admitting Green functions, the Suita conjecture states that the Gaussian curvature of the Suita metric induced by the logarithmic capacity is bounded from above by ?4?4, and the curvature is equal to ?4?4 at some point if and only if XX is biholomorphic to the unit disc less a (possibly) closed polar subset. We talk about our new proof of the above equality part by using the plurisubharmonic variation properties of the Bergman kernels.
We also relate this with a joint work with Bun Wong on the holomorphic sectional curvature of the Bergman metric on manifolds.