Time: May 23 (Friday), 10:10am-12:00pm

Venue: Room 09 at Quan Zhai, BICMR

Speaker: Z Blocki

Abstract: We will present recent optimal estimates for the Bergman kernel. One of them is a lower bound in dimension 1 in terms of logarithmic capacity conjectured by Suita and is closely related to the Ohsawa-Takegoshi extension theorem from several variables. For convex domains in arbitrary dimension the kernel can be estimated by the reciprocal of the volume of Kobayashi indicatrix. This has interesting consequences in convex analysis.