题目:A Notion of Positivity for Levi Flat Structures
报告人:嵇庆春 教授(复旦大学)
地点:致远楼101室
时间:2025年12月20日 星期六 15:30-16:30
摘要:The Levi flat structure(or complex Frobenius 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. In the talk, we will first introduce a notion of positivity for Levi flat structures motivated by Morse theory and Grauert type convexity from Several Complex Variables, and then give applications to solvability/regularity problem of the Treves complex associated to a Levi flat structure, which can be regarded as a generalization of the Ohsawa-Sibony theorem for Levi flat CR structures.
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