时间：2026年1月23日（星期五）14:00-15:00
地点：西湖大学云谷校区E14-212
主讲人：北京大学 周胜铉
报告题目：An Explicit Uniform Bound for Rational Points on Curves
报告摘要：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.
