Joint IAS/Princeton University Number Theory Seminar

A uniform Bogomolov type of theorem for curves over global fields

In the recent breakthrough on the uniform Mordell-Lang problem by Dimitrov-Gao-Habegger and Kuhne, their key result is a uniform Bogomolov type of theorem for curves over number fields. In this talk, we introduce a refinement and generalization of the uniform Bogomolov conjecture over global fields, as a consequence of bigness of some adelic line bundles in the setting of Arakelov geometry. The treatment is based on the new theory of adelic line bundles of Yuan--Zhang and the admissible pairing over curves of Zhang.

Date & Time

September 15, 2021 | 10:00am – 11:00pm

Location

Remote Access

Speakers

Speaker Affiliation

Beijing International Center for Mathematical Research

Event Series

Categories

Notes

Zoom link password hint: the three digit integer that is the cube of the sum of its digits.

Video link: https://www.ias.edu/video/uniform-bogomolov-type-theorem-curves-over-gl…