NTSGrad Spring 2024/Abstracts

This page contains the titles and abstracts for talks scheduled in the Spring 2024 semester. To go back to the main GNTS page for the semester, click here.

1/23

Tejasi Bhatnagar

Stratification in the moduli space of abelian varieties in char p.

This talk will be an introduction to studying moduli space of abelian varieties in characteristic p via different stratifications. This will be a pre-talk for the upcoming Arizona Winter school in March! I'll try and introduce the theory and give an overview of the kinds of questions and objects we'll come across in the winter school.

1/30

Joey Yu Luo

Gross-Zagier formula: motivation

In this talk, I will sketch how to use the modularity theorem to construct lots of rational points in the elliptic curves, based on the idea of Heegner. Among the constructions, we will see how L-functions come into the story, and how the story end up with the Gross-Zagier formula.

2/6

Hyun Jong Kim

A Zoo of L-functions

I will talk about some different kinds of L-functions (and zeta functions) and maybe some problems surrounding them. Here are notes: https://github.com/hyunjongkimmath/GNTS_spring_2024_presentation_notes

2/20

Eiki Norizuki

Abelian Varieties over C

I will talk about the basics of abelian varieties over the complex numbers, in particular their line bundles, polarization and related topics. Time permitting, I may talk about A_g and the Schottky problem.