Zhehao Li : Heights of abelian varieties

Posted by Zhehao Li , part of the Graduate Number Theory Seminar.

At

Feb. 22, 2023, 4 p.m.

In

427 SEO

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