报告人：刘炳远访问助理教授

             University of California, Riverside

题目：Geometric analysis on the Diederich–Fornæss index

时间：2018年6月19日下午16:00

地点：海韵数理楼661

摘要：In this talk, we discuss the Diederich–Fornæss index in several complex variables. A domain Ω ⊂ C n is said to be pseudoconvex if − log(−δ(z)) is plurisubharmonic in Ω, where δ is a signed distance function of Ω. The Diederich–Fornæss index has been introduced since 1977 as an index to refine the notion of pseudoconvexity. After a brief review of pseudoconvexity, we discuss this index from the point of view of geometric analysis. We will find an equivalent index associated to the boundary of domains and with it, we are able to obtain accurate values of the Diederich–Fornæss index for many types of domains.

报告人简介：刘炳远，加州大学河滨分校访问助理教授。主要研究方向为：复几何，多复变，全纯动力系统。在J. Geom. Anal. ，Pacific J. Math.，J. Math. Anal. Appl.等发表多篇论文。

联系人：邱春晖教授、杨波副教授

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