Green-Griffiths-Lang Conjecture for Algebraic Varieties with Big Fundamental Groups
发布时间:2023年08月28日
浏览次数:2114
发布者: Wenqiong Li
主讲人: 邓亚(法国国家科学研究中心)
活动时间: 从 2023-08-29 14:00 到 17:00
场地: 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.