Guy Fowler : Modular Zilber--Pink for generic varieties

Posted by Ronnie Nagloo , part of the Logic Seminar.

At

Aug. 26, 2025, 3 p.m.

In

636 SEO

Abstract

The Zilber--Pink conjecture is a major open conjecture in arithmetic geometry. In this talk, I will describe joint work with Vahagn Aslanyan and Sebastian Eterović in which we prove the conjecture for subvarieties of powers of a modular curve that satisfy a suitable geometric genericity condition. Our approach uses the model theory of differential fields and Ax--Schanuel for the j-function. If time permits, I will also discuss progress in making these results effective.