报告人：张旭（四川大学）

邀请人：郑权

报告时间：2023年6月20日（星期二）14:30-16:00

报告地点：科技楼南楼611室

报告题目：PDE approach in infinite-dimensional complex analysis

报告摘要：The classical $L^2$ approach is a basic tool in complex analysis of several variables. Naturally, one expected to extend it to infinite-dimensional complex analysis, but this is a longstanding unsolved problem. The main purpose in this work is to establish $L^2$ estimates and existence theorems for the $\overline{\partial}$ equations in general pseudo-convex domains of infinite dimensions. For this purpose, we introduce several new concepts and techniques, which have independent interest to be adopted to study some other problems in infinite-dimensional analysis. (This is a joint work with Zhouzhe Wang and Jiayang Yu).

报告人简介：张旭教授，四川大学教授，首届新基石研究员，主要研究数学控制论。曾独立获国家自然科学二等奖和教育部自然科学一等奖等，获国家重点基础研究发展计划（973计划）、国家自然科学基金重点项目和国家杰出青年科学基金等资助，入选教育部人才计划特聘教授、国家高层次人才特殊支持计划领军人才和中国科学院“百人计划”等，2010年国际数学家大会(ICM)受邀45分钟报告。