Speaker: Ya Deng (Centre National de la Recherche Scientifique (CNRS))
Time: 14:00-15:00, June 29, 2023
Room: Room 2402, the Second Teaching Building
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.
