Speaker: 邓亚（CNRS, Institut Élie Cartan de Lorraine, Université de Lorraine）

Time: 10:00-11:00, July 27

Venue: 数学中心研讨室（至善楼602）

Online: Zoom: 870 9072 3672（Password: msrc）

Title: On the Shafarevich Conjecture

Abstract:

    The Shafarevich conjecture is one of the most beautiful problem in complex geometry. It stipulates that the universal covering of a projective variety is homomorphically convex. In this talk, I will report a recent result 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 Zariski dense representation into a reductive group. Some result on the Shafarevich conjecture for quasi-projective varieties will be discussed if time allows.