Geometric Analysis Seminar —— An Explicit Uniform Bound for Rational Points on Curves
报告人：周胜铉(Institut de Mathématiques de Toulouse)
时间：2026-04-22 16:00-17:00
地点：online
【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.
【报告人简介】
Shengxuan Zhou is currently a CIMI postdoc in Institut de Mathématiques de Toulouse. He obtained his PhD in July 2024 at Peking University under the supervision of Prof. Gang Tian. His research interest lies in Kähler Geometry, Riemannian Geometry and related topics.
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