On d-bounded Bergman metrics and its applications
报告题目(Title)：On d-bounded Bergman metrics and its applications
报告人(Speaker)：张利友教授 （首都师范大学）
地点(Place)：Zoom id: 66930353997, code: 177536
时间(Time)：2020年7月3日 16：15-17：15
邀请人(Inviter)：汪志威
报告摘要
We’ll talk about the d-bounded property of the Bergman metric, as well as its applications to geometry of complex domains. More precisely, we’ll show the existence of plurisubharmonic functions with certain growth speed near the boundary of the uniformly squeezing domains. We’ll also show that the d-bounded property is not biholomorphically invariant, which yields negative evidence to Gromov’s question on the Kaehler hyperbolicity of the total space of a fiberation. If time permits, we’ll provide new examples with d-bounded Bergman metric.
主讲人简介
张利友，首都师范大学教授，北京市首届优秀博士论文获奖者，研究方向为多复变与复几何。在不变度量、复有界域的几何，以及向量丛的正性方面有很深的研究并得到系列重要结果，尤其是与人合作得到的squeezing函数理论开辟了新的研究领域，引发大量国际同行的后续研究。
