Title：A Notion of Positivity for Levi Flat Structures

Abstract：Levi flat structures(or complex Frobenius structures) can be traced back  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.

Speaker：Ji Qingchun，Fudan University.

Date：2:30-3:30 p.m., 2025-12-2 (Tuesday).

Venue: 56#204

Organizer：School of Mathematics

Inviter：Ling Zhi

Students and teachers are welcome.