时间:2014年7月3日(周四)上午10:30-11:20
地点:仓山校区 成功楼603教室
主讲:Xiamen University Professor Chunhui Qiu
主办:数学与计算机科学学院
专家简介:邱春晖,厦门大学数学科学学院教授、博士生导师、副院长。主要从事多复变函数论和复Finsler几何的研究工作,在《Differential Geometry and its applications》、《Integral Equations and Operator Theory》、《中国科学》等发表过40多篇论文,主持(过)四项国家自然科学基金面上项目、三项国家自然科学基金数学“天元”基金和一项厦门大学新世纪优秀人才支持计划,多次组织多复变与复几何、Finsler几何研讨会。
报告摘要:Let M be a compact complex manifold with a strongly pseudoconvex complex Finsler metric F, we define a natural projection of complex horizontal Laplacian on M, it is independent of the fiber coordinate. By using the Sobolev space theory and spectral resolution theory in a Hilbert space, we prove the Hodge theorem for the natural projection of complex horizontal Laplacian on M. Moreover, by means of the decomposition theorem of the self-adjoint elliptic operator, we also prove the Hodge theorem for the Hodge-Laplace operator on M.