报 告 人：姚成建 教授
报告题目：On the basics of hypersymplectic structure and flow
报告时间：2025年5月10日（周六）下午17：30-18:30
报告地点：静远楼1506学术报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
姚成建，上海科技大学副教授，主要研究方向为微分几何与数学物理。 相关成果发表在Duke Mathematical J., Mathematische Annalen以及Advances in Mathematics等国际知名杂志上。
报告摘要：
Hypersymplectic structure on a 4-manifold is a triple of symplectic forms such that any nontrivial linear combination is symplectic. The hypersymplectic flow is a natural geometric flow designed to deform one given hypersymplectic structure in its cohomology class isotopically to a hyperKahler structure. In this talk, we will review the very basics of hypersymplectic structure and the flow, and then present some long time existence and convergence results about the flow based on joint works with Joel Fine and Weiyong He.