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Symplectically Flat Bundles and Yang-Mills Type of Functionals

组织者

杨琳 , 塞巴斯蒂安·赫勒 , 河井公大朗

演讲者

周嘉伟

时间

2023年10月10日 14:30 至 15:30

地点

A6-101

线上

Zoom 435 529 7909 (BIMSA)

摘要

In analogous to flat bundle and holomorphic bundle, we introduce a special type of vector bundle over symplectic manifolds, which is called symplectically flat. The corresponding connection is called a symplectically flat connection and its curvature is proportional to the symplectic form. Considering that flat connections are the zero points of Yang-Mills functional, we construct two similar functionals vanishing on the symplectically flat connections, then study their critical points. This work is in joint with Li-Sheng Tseng.