报告题目：Geometric and analytic properties associated with extension operators
报告人：王建飞
报告时间：5月5日（星期日）9:30-10:30
报告地点：777大象传媒视频入口1-301
中文摘要: 我们首先刻画了Roper-Suffridge延拓算子在由凸函数所定义的一般域上保持E-星形性质; 其次构造了Reinhard域上的广义Roper-Sufffridge延拓算子, 并解决了Gong和Liu所提出的一个公开问题; 最后在有界对称域上推广了Pfaltzgraff-Sufffridge延拓算子, 并证明了Loewer链是保持的. 这是与刘太顺教授、张艳慧教授合作完成的工作.
英文摘要: In this talk, we first prove that the Roper-Suffridge extension operator preserves E-starlike property on general domains given by convex functions. Next, we construct the generalized Roper-Suffridge extension operator on Reinhard domains which solves a problem of Gong and Liu. Finally, we generalize the Pfaltzgraff-Suffridge extension operator over bounded symmetric domains and prove Loewner chains are preserved. Further, we propose two conjectures. This recent work is joint with Prof. Taishun Liu and Yanhui Zhang.
报告人简介：王建飞，华侨大学特聘教授，福建省闽江学者特聘教授。主要从事多复变函数论的研究，已在TAMS、J. Geom. Anal.、Pacific J. Math.、中国科学等国内外期刊发表学术论文30余篇，主持国家自然科学基金与省级科研项目多项。
报告题目：Proper mappings between indefinite hyperbolic spaces and type I classical domains
报告人：卢金
报告时间：5月5日（星期日）10:30-11:30
报告地点：777大象传媒视频入口1-301
中文摘要: 我们将介绍不定双曲空间之间的映射问题, 推广了Baouendi-Ebenfelt-Huang 和Ng的研究结果; 然后证明了典型域I之间逆紧全纯映射的刚性, 解决了Chan提出并经Zaitsev-Kim、Kim等研究的一个猜想.
英文摘要: In this talk, we will introduce a mapping problem between indefinite hyperbolic spaces by employing the work established earlier by the authors. In particular, we generalize certain theorems proved by Baouendi-Ebenfelt-Huang and Ng. Then we use these results to prove a rigidity result for proper holomorphic mappings between type I classical domains, which confirms a conjecture formulated by Chan after the work of Zaitsev-Kim, Kim and himself.
报告人简介：卢金，安徽大学副教授。主要从事多复变函数论的研究，先后主持、参与国家自然科学基金、省自然科学基金项目近10项，已在Adv.Math.、TAMS、J. Geom. Anal.等国内外期刊发表学术论文近20篇。
