报告题目 (Title)：Extension of Holomorphic Bundles and Similarity
（全纯丛的扩张与相似性）
报告人 (Speaker)：纪奎 教授（河北师范大学）
报告时间 (Time)：2026年3月27日（周五）10:00
报告地点 (Place)：线上（腾讯会议号：722 238 870）
邀请人(Inviter)：李晋、席东盟、吴加勇
主办部门：理学院数学系
报告摘要：In this talk, A new criterion for the similarity of commuting tuples of operators on Hilbert spaces is introduced. As an application, we obtain a geometric similarity invariant of tuples in the Cowen-Douglas class which gives a partial answer to a question raised by R.G. Douglas in Complex geometry and operator theory, Acta Math. 141(1978), 187-261 and Operator theory and complex geometry, Extracta Math. 24(2009), 135-165 about the similarity of quasi-free Hilbert modules. Moreover, the results can be also generalzied to the case of Hermitian holomorphic vector bundles.
