Xinyi Yuan - A Quantitative Version of the Uniform Mordell Conjecture

The celebrated Mordell conjecture proved by Faltings asserts that the number of rational points on a curve of genus greater than one over a number field is finite. 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 Kuhne. In this talk, I will introduce an explicit version of this uniform bound. This is a joint work with Jiawei Yu and Shengxuan Zhou.

Xinyi Yuan (BICMR, Peking University)

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