06-29【邓亚】On the Shafarevich Conjecture

发布时间:2023-06-20来源:几何与物理研究中心中文网页浏览次数:139

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


  

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.