Tangli Ge : Uniform Mordell—Lang plus Bogomolov

Posted by , part of the Unlikely Intersections Seminar.

At

Sept. 20, 2022, 2 p.m.

In

636 SEO

Abstract

Let A be an abelian variety over a number field. The Mordell—Lang conjecture (resp. the Bogomolov conjecture) states that a general subvariety of A contains few rational points (resp. few points of small Néron—Tate height). They were proved in the late 20th century. Later, Poonen and Zhang independently showed that the equidistribution theorem can be used to merge two results into a stronger one, which is called the Mordell—Lang plus Bogomolov. In this talk, I will explain how to get a uniform version of this combined theorem. This talk is partially based on the joint work with Gao and Kühne.