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

Time:2023-05-11Views:32

Speaker: Hao Yin(USTC)

Time: 10:00-11:00, May 18, 2023

Room: Room 1124, Material Science Research Building (Section C)


  

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.