Green-Griffiths-Lang Conjecture for Algebraic Varieties with Big Fundamental Groups
Time: 2023-08-28
Published By: Wenqiong Li
Speaker(s): Ya Deng (Centre national de la recherche scientifique)
Time: 14:00-17:00 August 29, 2023
Venue: Room 78301, Jingchunyuan 78, BICMR
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 whose topological fundamental groups possess a big and reductive representation into a complex general linear group.
