05-18【殷 浩】物质科研楼C1124 Geometry&Topology Seminar系列讲座之064

发布者:王欣发布时间:2023-05-15浏览次数:10

告题目:On the blow-up of Yang-Mills connection in dimension four

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

报告摘要:


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.