报告题目:On the blow-up of Yang-Mills connection in dimension four
报 告 人:殷浩教授 (中国科学技术大学)
会议时间:2023/10/19 10:00开始
会议地址:腾讯会议号169-124-547
报告摘要:In this talk, 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.
报告人简介:殷浩,中国科学技术大学教授,博士毕业于北京大学数学科学学院。在几何分析研究,尤其是调和映照相关课题中,做出了重要的贡献,已经在 Comm. Anal. Geom., J. Funct. Anal., Cal. Var. PDEs, Int. Math. Res. Not.等国际知名期刊发表论文20余篇, 主持国家级项目多项。