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

Time: 10:00-11:00, July 26

Venue: 数学中心研讨室（至善楼602）

Online: Zoom: 816 1886 9022（Password: msrc）

Title: Green-Griffiths-Lang conjecture for algebraic varieties with big fundamental groups

Abstract:

  The Green-Griffiths-Lang (GGL) conjecture asserts that any entire curve in a complex projective variety of general type cannot be Zariski dense. This conjecture fascinates many complex geometers, in part due to its arithmetic analogy with the Bombieri-Lang conjecture for rational points in algebraic varieties over number fields. In this talk, I will report a recent work with Cadorel and Yamanoi, focusing on the proof of the generalized GGL conjecture for quasi-projective varieties admitting a big reductive local system.