Sebastian Eterovic : Likely Intersections

Posted by James Freitag , part of the Unlikely Intersections Seminar.

At

Oct. 18, 2022, 2 p.m.

In

636 SEO

Abstract

In this talk I will present a strong counterpart to the Zilber-Pink conjecture. Zilber-Pink predicts that if X is a proper subvariety of a special kind of variety S and X is not contained in a proper special subvariety of S, then the union of the unlikely intersections of X with the proper special subvarieties of S is not Zariski dense in X. We will see that the likely intersections of X (which are defined in a slightly more delicate way than one might naively expect) are Euclidean dense in X. This is joint work with Tom Scanlon.