学术报告（周胜铉 2026.7.30）
An Explicit Uniform Bound for Rational Points on Curves
发布人：姚璐
发布日期：2026-07-27
主题
An Explicit Uniform Bound for Rational Points on Curves
活动时间
-
活动地址
新数学楼415
主讲人
周胜铉 博士后（图卢兹大学）
主持人
黄显涛 教授
Abstract: The celebrated Mordell conjecture, proved by Faltings, asserts that a curve of genus greater than one over a number field has only finitely many rational points. A deep uniform upper bound on the number of rational points follows from Vojta's inequality and the recent works of Dimitrov-Gao-Habegger and Kühne. In this talk, I will introduce an explicit version of this uniform bound. Our approach relies on analyzing Arakelov Kähler forms via localization of Bergman kernels. This is joint work with Jiawei Yu and Xinyi Yuan.
