代数几何研讨班：Green-Griffiths-Lang conjecture for algebraic varieties with big reductive fundamental groups

中科院数学与系统科学研究院

数学研究所

代数几何研讨班

报告人：邓 亚（Université de Lorraine）

题  目：Green-Griffiths-Lang conjecture for algebraic varieties with big reductive fundamental groups

时  间：2023.07.24（星期一），10:00-11:00

地  点：南楼 913

摘 要：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.