几何与信息流研究所学术报告(嵇庆春教授,复旦大学)
来源:系统管理员 发布时间:2025-09-05
报告题目:A Finite Order Regularity Result for Levi Flat Structures
报告人:嵇庆春教授,复旦大学
报告时间:2025年9月8日(周一)14:00
报告地点:20-308
报告摘要:The Levi flat structure dates back to the seminal work of L. Nirenberg generalizing the Newlander-Nirenberg theorem on complex structures, it has been one of the main topics in theory of involutive structures. We introduced a notion of convexity for Levi flat structures motivated by Morse theory and Grauert type convexity from Several Complex Variables. In the talk, we will first review the concept of convexity, and then we will first review the concept of convexity, and then use it to discuss the problem of finite-order regularity of the differential complex of Levi flat structures on compact manifolds, which can be regarded as a generalization of the Ohsawa-Sibony theorem for Levi flat CR structures.
报告人简介:嵇庆春,复旦大学教授,研究方向是多复变函数论,在Adv.Math、Math.Ann、JFA、J. Number Theory等国际期刊发表多篇论文,曾获首届“谷超豪奖”以及2018年ICCM若琳奖等。
邀请人:几何创新团队