Motivated by Chen-Ruan’s orbifold Gromov-Witten theory, we study some issues that should be useful for orbifold GW theory in terms of orbifold groupoids, such as spaces of morphisms between orbifolds, group actions, Lagrangians, and etc. These are based on joint works with Chengyong Du, Ono Kaoru, Tiyao Li, Bai-Ling Wang, Rui Wang and Yu Wang.
陈柏辉教授,四川大学数学学院科研副院长,博士生导师,教育部长江学者。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。