Time: 10:00-11:30  October 16, 2024 (Wednesday)

Venue: MCM110

Title: Diophantine Approximation on Surfaces and Distribution of Integral Points

Abstract: After Mordell's conjecture for curves was proved by Faltings, attentions turn to the distribution of rational and integral points on higher dimensional varieties, which is encoded in the celebrated Vojta's conjecture. Along this line we proved a subspace type inequality, improving the result of Vojta, on surfaces. Meanwhile, we obtain a sharp criterion of when a surface admits a non Zariski-dense set of integral points.  Joint with Huang, Levin.