Yang-Mills theory and Donaldson invariants on 4-manifolds and certain kind of 4-orbifolds
报告人：乔帅格（北京大学）
时间：2022年11月10日(星期四），15：00
地点：西南中心516
摘要：
Let X be a closed oriented Riemannian 4-manifold, P be an SU(2) or SO(3)-principal bundle over X. Yang-Mills theory studies the anti-self-dual (or self-dual) equations defined on the space of connections on P. Through the instanton moduli space (the solution space of ASD equation module gauge transformation), Donaldson invariants are defined. These invariants increase our understanding of 4-manifolds.
In the first part of this talk, I will give an overview of Yang-Mills theory. For the second part, I will introduce the definition of Donaldson invariants. Finally, we apply the technique to 4-orbifolds of the form $X/\mathbb Z_p$ whose singular points are vertices of cones over lens spaces and get equivariant localised Donaldson invariants.
专家简介：
北京大学博士后。现主要从事反自对偶杨米尔斯规范场论，Seiberg-Witten规范场论，Floer同调等相关方向研究。
邀请人：李彦鹏
