Title:  On symplectic mean curvature flows 

Speaker:   Jiayu Li  (Professor)

Time:  May 27, 2026,16:00-17:00

Venue: Room 3A01, Building No. 37, Wushan Campus

Abstract: 

This is a survey talk on symplectic mean curvature flows. The results are mainly obtained by our research group. We prove that the symplectic property is preserved along the mean curvature flow in K¨ahler-Einstein surface, which we call ”Symplectic mean curvature flow”. It was proved that there is no Type I singularity for the symplectic mean curvature flow. Then, we mainly study the Type II singularity. As an important model of a Type II singularity of the mean curvature flow, the translating soliton is studied mainly. We prove that the symplectic translating soliton must be a plane under some natural assumptions, which we demonstrate is a necessity through an exploration of compelling examples. Furthermore, we derive a necessary condition for the translating soliton to be a blow-up limit of the symplectic mean curvature flow.