Symplectically Flat Bundles and Yang-Mills Type of Functionals

Time：2023-10-10 Tue 14:30-15:30

Venue：A6-1

Organizer：Lynn Heller, Sebastian Heller, Kotaro Kawai

Speaker：Jiawei Zhou BIMSA

Abstract

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.

DATEOctober 10, 2023

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