Abstract:
The Zilber-Pink conjecture is a deep problem in arithmetic geometry governing the behavior of "unlikely" and "atypical" intersections. The philosophy behind the conjecture is that the abundance of points in a variety containing some arithmetic information should be explained by geometry.
In this talk I will introduce the conjecture, motivate it through some examples, and then I will present some of the known results, hopefully concluding with a theorem joint with Vahagn Aslanyan and Guy Fowler.