Convexity of the k-energy on the space of kahler metrics
Time: 2014-09-16
Published By:
Speaker(s): Dr. Xiao Jiang, Peking University
Time: 00:00-00:00 September 16, 2014
Venue: Room 29 at Quan Zhai, BICMR
Time: 10:10am-12:00pm, September 16
Place: Room 29, Quan Zhai, BICMR
Speaker: Dr Xiao Jiang, Peking University
Abstract: In their paper "Convexity of the k-energy on the space of kahler metrics", Berman and Berndtsson established the convexity of k-energy functional along weak geodesics via local positivity of weak solutions to the homogenuous Monge-Ampere equation on a product domain and local Bergman kernel asymptotics. In this talk, we will go over their proof.