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Quantitative Mordell conjecture

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Jiawei Yu

时间

2026年03月30日 10:00 至 11:00

地点

Shuangqing-B654

摘要

The Mordell conjecture, proved by Faltings, asserts the finiteness of rational points on curves of genus >1. A uniform version follows from the work of Vojta, Dimitrov-Gao-Habegger, and Kuhne. I will report a quantitative result on it. It is based on Vojta's inequality and Bogomolov conjecture, with the latter building on Faltings-Elkies inequality. This is a joint work with Xinyi Yuan and Shengxuan Zhou.