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$L^2$ estimates and existence theorems for the $\overline{\partial}$ operators in infinite dimensions
奥门金沙:2020年09月15日 17:10 点击数:

报告人:张旭

报告地点:奥门金沙二楼会议室

报告奥门金沙:2020年09月18日星期五10:00-11:00

邀请人:高夯、柳絮

报告摘要:

The classical $L^2$ method for the $\overline{\partial}$ operators is a basic tool in complex analysis of several variables. Naturally, it is expected to extend this method 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 give an affirmative solution to the above problem. The key of our approach is to introduce suitable working spaces. (This is a joint with Dr. Jiayang Yu)

主讲人概况:

张旭,四川大学教授,教育部长江学者特聘教授,国家杰出青年科学基金获得者,国家“万人计划”科技创新领军人才。独立获得国家自然科学二等奖、教育部自然科学一等奖、中国自动化学会“关肇直奖”。应邀在国际数学家大会作45分钟学术报告。

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