Graduate Number Theory Seminar
Zhehao Li
UIC
Heights of abelian varieties
Abstract: Instead of heights of points on a projective variety, we will look at heights of varieties themselves, and we will focus on abelian varieties. We will define Faltings height and modular height of an abelian variety, and introduce how they were used in the proof of Faltings' theorem. On the way to define Faltings height, we will have a quick tour on arithmetic intersection theory.
This is a hybrid talk. Zoom link: https://uic.zoom.us/j/89234585109?pwd=eU5HSFovK3Fmb1Z5U25YWTc3WFZidz09
Wednesday February 22, 2023 at 4:00 PM in 427 SEO