Symplectically flat connections and corresponding functionals

讲座时间 Datetime: 2022年11月1日，星期二，10：00-11：30

地点 Venue: 腾讯线上会议：315 628 400

主持人 Host：吴志伟

报告人 Speaker: 周嘉伟 

单位 Affiliation: 清华大学

报告摘要 Abstract:

Over a symplectic manifold, we call a connection symplectically flat if its curvature is proportional to the symplectic form and the proportion is covariantly a constant. Such connections are also related to flat connections over the corresponding contact manifold. With these perspectives, we will study two functionals whose zero points are symplectically flat connections. Moreover, we will also explore some properties of simplectically flat connections, such as calculating the cohomology of vector valued forms and classifying these connections.