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BIMSA-YMSC Tsinghua Number Theory Seminar
BIMSA-YMSC Tsinghua Number Theory Seminar
Quantitative Mordell conjecture
Quantitative Mordell conjecture
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Jiawei Yu
Time
Monday, March 30, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-B654
Abstract
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.