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学术报告

Bounded holomorphic functions on unbounded pseudoconvex domains in C^n-Prof Kang-Tae Kim (Center of Geometry and its applications, Postech, Korea)

题目:Bounded holomorphic functions on unbounded pseudoconvex domains in C^n

报告人:Professor Kang-Tae Kim  

(Center of Geometry and its applications, Postech, Korea)

摘要:Whether there is a non-trivial bounded holomorphic functions on a complex manifolds with a complete (K/"ahler) metric of some curvature conditions has been a long-standing problem, that is still unsolved in full generality as far as I know. On the other hand, recent progress on the study of unbounded pseudoconvex domains has motivated us to study this problem for the unbounded domains. I would like to present a recent progress upon this problem from my collaboration with T. Ahn and H. Gaussier (a paper in J of Geometric Analysis).  The result yields the existence and completeness of Bergman metric on such domains (for instance including the Kohn-Nirenberg domain), as an application.

时间:10月26日(周三)上午10:30-11:30

地点:首都师范大学北二区教学楼132教室

 

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