Seminars & Colloquia Calendar

Download as iCal file

Complex Analysis and Geometry Seminar

 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.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.