Uniform Bogomolov Conjecture for Algebraic Tori

BIMSA-YMSC Tsinghua Number Theory Seminar

Organizers：

Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu

Speaker：

Ruida Di (MCM)

Time：

Mon., 10:00-11:00 am, Nov. 4, 2024

Venue：

C654, Shuangqing Complex Building A

Title：

Uniform Bogomolov Conjecture for Algebraic Tori

Abstract:

In this talk, I will give a new proof of a uniform version of Bogomolov conjecture for algebraic tori. To do this, I will introduce the notation of nondegenerate subvarieties and an equidistribution result. This new method is inspired by Dimitrov-Gao-Habegger, Kühne, Gao-Ge-Kühne’s approach to the uniform Mordell-Lang conjecture. If time permits, I will also give a brief introduction on related Diophantine geometry problems.