Geometric Bombieri-Lang conjecture for ramified covers of abelian varieties

Speaker：Guoquan Gao (Peking University)

Time：2026-4-28 13:30

Location：Conference Room S306 at Experiment Building at Haiyun Campus

Abstract:

The Geometric Bombieri--Lang Conjecture is a function filed analogue of the Bombieri--Lang conjecture, which is a higher-dimensional generalization of the famous Mordell conjecture. Recently, Junyi Xie and Xinyi Yuan proved this conjecture in the case of ramified covers of abelian varieties with some extra assumptions in characteristic zero. In this talk, I will introduce their ideas and some new ideas to remove their extra assumptions.