题目：Variation of m-Bergman kernel and positivity of direct images of twisted relative canonical bundles
摘要:Inspired by Demailly’s regularization theorem, we give a new characterization of plurisubharmonic functions. As applications, we present a different method to prove the plurisubharmonic variation of m-Bergman kernel and Griffiths positive of direct images of twisted relative canonical bundles associated to holomorphic families of Kaehler manifolds.
If time permits, I’ll also mention some recent results on the biholomorhism between two pseudoconvex domains D1 and D2 provided that D1 and D2 are p-Bergman kernel exhaustive and the Lp holomorphic function spaces Ap(D1) and Ap(D2) are linear isometric, where p is not even.
The talk is based on joint works with Fusheng Deng, Zhiwei Wang and Xiangyu Zhou.