报告题目：How fundamental groups of algebraic varieties determine their hyperbolicity

报告人：邓亚（CNRS, Institut Élie Cartan de Lorraine）

时间：2022年12月8日 10:00-11:00

地点：物质科研楼C1124

报告摘要：

It is natural to ask whether one can characterize the hyperbolicity of algebraic varieties (e.g. positivity of their logarithmic canonical bundle) via their topology. In this talk, I will answer this question if their fundamental groups admit a linear representation. Precisely, I will give a sharp condition for the hyperbolicity of complex quasi-projective varieties via representation of fundamental groups. This fits well with the prediction of the strong Green-Griffiths-Lang conjecture. If time allows, I will briefly explain the strategy of the proof, which is based on Nevanlinna theories, and non-abelian Hodge theories in both Archimedean and non-archimedean settings.