Morphism Groupoids and Groupoid Extensions
发布时间：2018年12月26日
浏览次数：6663
发布者: He Liu
主讲人： Chengyong Du (Sichuan Normal University)
活动时间： 从 2018-12-27 15:15 到 16:15
场地： 北京国际数学研究中心，全斋全9教室
In this talk we will introduce various constructions on (Lie) groupoids originated from orbifold Gromov-Witten theory. We first consider the construction of groupoid of morphisms of groupoids (Morphism groupoids), this would be the foundation for studying moduli spaces in orbifold Gromov-Witten theory. Then we consider groupoid extension/fibration with fiber being groupoids. A gerbe is a special case of groupoid extension. We classify groupoid extensions. Finally, we discuss the morphism groupoids of fiber class morphism to a groupoid extension. This is the first step to study the orbifold Gromov-Witten theory of groupoid extensions. This talk is based on recent joint works with B. Chen, R. Wang and Y. Wan.
