Speaker: Xiao Jia(Beijing University)

Venue: 82J04, BICMR

Time: Novemer 6, Wednesday, 10:10am --12:00am

Abstract: In this talk, we will talk about a paper by Bo Berndtsson.(Annals of Mathematics,169(2009),531-560)Let L be a positive line bundle over a Kahler manifold, X, fibered over a complex manifold Y. Assuming the fibers are compact and nonsigular, he proved that the Hermitian vector bundle E over Y whose fibers over y are the spaces of global sections over X_y to L\otimes\K_{X/Y}, endowed with the L^2-metric, is positive in the sense of Nakano. We will go over his proof.