The Bochner-Kodaira-Nakano type formula and applications

讲座题目：The Bochner-Kodaira-Nakano type formula and applications
讲座时间 Datetime:2025年11月11日，星期二，9:00-10:00
地点 Venue: 海琴2号A457
主持人 Host：邵国宽 教授
报告人 Speaker: 王欢 助理研究员
单位 Affiliation: 河南省科学院数学研究所 
报告摘要 Abstract: 
The Bochner-Kodaira-Nakano formula and its variation play the central role in various vanishing theorems, as well as the estimates of the growth of dimension of cohomology for high tensor power of line bundles, on complex manifolds. In this talk, we will present the\dbar\ddbar-formula of Siu-Berndtsson type and apply it to study the cohomology dimension growth for Nakano q-semipositive line bundles, in which Bochner-Kodaira-Nakano formula with boundary term is also indispensable. The later formula has been improved in our recent work with Bingxiao Liu and George Marinescu. In the end, we will discuss the CR version of Bochner-Kodaira-Nakano formula based on our work with Hsiao and Marinescu.
报告人简介：
王欢, 河南省科学院数学研究所助理研究员，博士毕业于德国科隆大学数学系。主要研究全纯Morse不等式及其相关问题，先后在华东师范大学、中国台湾“中研院”数学所、意大利国际理论物理中心以及马克斯·普朗克数学研究所从事博士后与访问学者工作。