06-29【邓 亚】二教2402 Geometry&Topology Seminar系列讲座之067

发布者:王欣发布时间:2023-06-27浏览次数:10

告题目:On the Shafarevich Conjecture

报告人:邓亚(法国国家科学研究中心)

时间:2023年6月29日14:00-15:00

地点:二教2402

报告摘要:

 The Shafarevich conjecture is one of the most beautiful problems in complex geometry. It stipulates that the universal covering of a projective variety is homomorphically convex. In this talk, I will report a recent work joint with Yamanoi and Katzarkov on the proof of reductive Shafarevich conjecture. Precisely, we proved that the Shafarevich conjecture holds for projective normal varieties whose topological fundamental groups admit a faithful representation into a complex general linear group whose Zariski closure is reductive. Some result on the Shafarevich conjecture for quasi-projective varieties will be discussed if time allows.