中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

多复变与复几何学术活动

Some Topics in Several Complex Variables

报告人张旭 (教授)(四川大学)

 L2 estimates and existence theorems for the d-bar  operators in infinite dimensions.

  525日下午15:00-17:00

  点:N913

摘 要The classical L2 method is a basic tool in complex analysis of several variables. Naturally, it is expected to extend this estimate to infinite-dimensional complex analysis, but this is a longstanding unsolved problem, due to the essential difficulty that there exists no nontrivial translation invariance measure in the setting of infinite dimensions. Our main purpose in this work is to establish L2 estimates and existence theorems for the d-bar operators in pseudo-convex domains of infinite dimensions. For this purpose, we introduce several new concepts and techniques, which have independent interest. (Jointly with Zhouzhe Wang and Jiayang Yu).

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