报告题目：Hodgeand vanishing theorems on strongly pseudoconvex complex Finsler vector bundles

报告人：邱春晖

时间：2019年4月26日上午9点30分

地点：汇贤楼122教室

主办单位：数学科学学院

 

报告摘要

Inthis talk, we will introduce the Hodge and vanishing theorems on stronglypseudoconvex complex  Finsler  vector bundles. Firstly, we givedefinitions of various Laplace operators on strongly pseudoconvex complex  Finsler  vector bundles and  obtain the Hodge theoremsabout them. Secondly, we deduce some useful formulas on  stronglypseudoconvex  complex Finsler vector bundles, such as theBochner-Kodaira-Nakona identity and Bochner-Kodaira technique which is obtainedby Y.T. Siu on  Hermitian  vector bundles. Finally, we prove somevanishing theorems on strongly pseudoconvex complex  Finsler  vectorbundles. In particular, on strictly pseudoconvex complex Berwald vectorbundles, we get the Hodge isomorphism theorems and  vanishing theorems forcohomology groups.

专家简介

Qiuchunhui,professor of mathematics science at Xiamen University, doctoral tutor, chairmanof Xiamen Mathematical Society. The main research is multiple complex functiontheory and complex Finsler geometry, in Advanced in Math. , J. Of Geom. Anal.He has published more than 50 papers, successively presided over five projectson the surface of the National Natural Science Foundation, four projects of theNational Natural Science Foundation "Tianyuan" Fund, and a XiamenUniversity Outstanding Talent Support Program for the New Century. He hasorganized multiple multiplications and complex geometry several times. FinslerGeometry seminar.