The geometry and arithmetic of surface fibrations over rational curves

主讲人：龚成  苏州大学副教授

时间：2021年11月23日9：00

地点：腾讯会议 531 730 443

举办单位：数理学院

内容介绍：Fibration is one of the most important tools to classify algebraic surfaces and to study moduli spaces. Fibrations over rational lines play an important role.Many fibrations with remarkable arithmetic and geometric properties can be obtained from fibrations over rational lines by base changes. My lecture mainly pay attention to the following topic: Classify fibrations of  algebraic surfaces over rational curves, and give its applications. In particular, we hope to complete the problem proposed by Poincaré for Riccati  foliation in 1891.