Speaker: Sebastian Eterovic
Date: 10:30 03/06/2022
Title: Generic Solutions to Equations Involving the Modular j-Function.

Abstract: We will start by discussing three different conjectures in arithmetic geometry concerning the modular 
j-function: Zilber-Pink, modular Schanuel, and Existential Closedness. Even though these problems have different 
flavors (Diophantine geometry, the period conjecture of Grothendieck-André, and model theory, respectively), we 
will see that there are important connections between them. In the course of this, we will discuss some partial 
results and known cases of the above conjectures. This is joint work with Sebastián Herrero (PUCV).