数学学科学术报告(张利友 首都师范大学)

发布者:段玉玲   发布时间:2018-10-29  浏览次数:13

题目:Variation of m-Bergman kernel and positivity of direct images of twisted relative canonical bundles

报告人:张利友教授
时间:2018111日(周四)下午1500—1600 

地点:21427报告厅

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.

  

 

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