学术信息

数学学科2024系列学术报告之四

来源:福利院免费体检区200入口 发布日期:2024-05-06

报告题目:Extension of multi-valued holomorphic functions on a Stein space

报告人:李小山

报告时间:53日(星期五)16:00-17:00

报告地点:福利院免费体检区200入口1-301

  中文摘要: 最近有两位学者在维数大于等于3且具有紧致强拟凸边界的奇异Stein空间上建立了经典Kerner定理的一个新版本; 同时在维数为2的奇异Stein空间上也得到了部分结果. 我们将证明在完全一般情形下二维奇异Stein空间上剩余的公开问题. 这是与黄孝军教授合作完成的工作. 

  英文摘要: A version of the classical Kerner's theorem for a singular Stein space with a compact strongly pseudoconvex boundary has been recently established by Huang and Xiao when the dimension of space is greater or equal to three. A partial result for the case of complex dimension two was also obtained by them. In this talk, we will show and answer to the two dimensional case left open in in its full generality. This talk is based on a joint work with Xiaojun Huang.

  报告人简介:李小山,武汉大学副教授。主要从事多复变函数论的研究,先后主持国家自然科学基金青年项目1项、面上项目2项、国际(地区)合作与交流项目1项,在Math. Ann.JFATAMSIMRNMRLMath. Z.等国际数学知名期刊发表论文20余篇。