05-18【殷浩】On the blow-up of Yang-Mills connection in dimension four

发布时间:2023-05-10来源:几何与物理研究中心中文网页浏览次数:102

报告人:殷浩(中国科学技术大学)

时间:2023年5月18日10:00-11:00    

地点:物质科研楼C1124


 

In this paper, we study the blow-up of a sequence of Yang-Mills connection with bounded energy on a four manifold. We prove a set of equations relating the geometry of the bubble connection at the infinity with the geometry of the limit connection at the energy concentration point. These equations exclude certain scenarios from happening. The proof involves the expansion of connection forms with respect to some Coulomb gauge on long cylinders.