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【系综合学术报告】2023年第9期 || On the blow-up of Yang-Mills connection in dimension four

【系综合学术报告】

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

报告人:殷浩 副教授(中国科技大学)

时间:2023年4月25(周二)上午10:00-11:00

地点:理科楼A404

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.

报告人简介:殷浩,中国科技大学副教授,博士生导师。殷浩的研究方向为几何分析中的偏微分方程。殷浩至今在国际上专业的SCI数学杂志上发表论文20多篇,已主持多项国家自然科学基金。

邀请人:韩小利,李宇翔