BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Uniform Bogomolov Conjecture for Algebraic Tori
Uniform Bogomolov Conjecture for Algebraic Tori
Organizers
Hansheng Diao , Heng Du , Yueke Hu , Bin Xu , Yihang Zhu
Speaker
Ruida Di
Time
Monday, November 4, 2024 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
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.