一、题目：

Symplectic vortex，its generalization，and Quantum Kirwan morphisms

二、主讲人：

陈柏辉

三、摘要：

Let be a symplectic manifold with a Hamiltonian action. Let be its symplectic reduction. The symplectic vortices on were introduced by Salamon, Mundet i Riera and etc 20 years ago. It is used to construct the so-called Hamiltonian Gromov-Witten invariants. Essentially, this is a new type of the Gromov-Witten theory for the reduction using the equivariant topological data of. In this talk, I will review the topic following this line with moduli spaces of symplectic vortices. Furthermore, we generalize the vortex equation and introduce a new equivariant moduli space to give an equivariant Gromov-Witten theory for when is abelian. Combine these constructions, we may realize a quantum version of Kirwan map. The talk is mainly based on the joint work with Bai-Ling Wang and Rui Wang.

四、主讲人简介：

陈柏辉教授，四川大学数学学院科研副院长，博士生导师。研究方向为基础数学的几何与拓扑。工作涉及辛几何，低维拓扑与规范场理论，几何分析等。在Adv. in Math.、Topology、Math. Ann.、Math. Z.等国际著名杂志上发表多篇学术论文。

五、邀请人：

胡锡俊 数学学院教授

六、时间：

12月29日（周三）16:30-17:30

七、地点：

腾讯会议：829 742 820

八、主办方：

山东大学数学学院