报告题目：A notion of positivity for Levi Flat Structures
时 间：2026年2月27日（星期五）10: 00
地 点：科研楼18号楼1102
主 办：数学与统计学院,、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）
参加对象：相关方向教师和研究生
报告摘要：The Levi-flat structure (also known as the complex Frobenius structure) originates from the seminal work of L. Nirenberg on a complex analogue of the Frobenius theorem, which generalizes aspects of the Newlander–Nirenberg theorem for integrable almost complex structures. It has since become a central topic in the theory of involutive structures and CR geometry.In this talk, we will first introduce a notion of positivity (or convexity) for Levi-flat structures, drawing inspiration from Morse theory and Grauert-type convexity concepts in several complex variables. We will then discuss applications of this positivity condition to problems of solvability and finite-order regularity for the Treves complex.
报告人简介：嵇庆春，复旦大学教授，博士生导师。嵇庆春教授的研究方向为多复变，在 Math. Ann., Adv. Math., J. Func. Anal., Nagoya Math. J., Asian J. Math. 等国际数学期刊上发表多篇学术论文。获国家优秀青年科学基金项目等多个国家级项目资助。获首届“谷超豪”奖和2018年ICCM若琳奖。