Algebroid functions on complex manifolds

讲座时间 Datetime: 2023年6月29日，星期四， 15:00-17:00

地点 Venue: 海琴二号A457

报告人 Speaker: 董显晶 教授

单位 Affiliation: 曲阜师范大学

主持人Host：邵国宽 副教授

报告摘要 Abstract:

Algebroid functions are generalizations of meromorphic functions and algebraic functions, which were introduced by H. Poincaré. The most interesting problem on algebroid functions is their value distribution theory. As is known, this problem has been settled well for the algebroid functions on complex Euclidean spaces in recent decades. However, we seem to know nothing about the value distribution of algebroid functions on a non-trivial complex manifold. In this talk, we will introduce some value distribution results of algebroid functions on a complete Kähler manifold under a curvature condition, such as their second main theorem (in Nevanlinna theory), Picard theorem and five-value theorem, etc.

报告人简介：

董显晶，曲阜师范大学数学科学学院教授，研究方向为多复变与复几何。在《J. Inst. Math. Jussieu》、《Asian J. Math.》、《Pacific J. Math.》、《Sci. China Math.》等国内外学术期刊上发表十多篇论文。