Guy Fowler (Leibniz University Hannover)

O-minimality and finiteness of some atypical intersections for $Y(1)^n$

Note location change: Roger Stevens LT23 (8.23)

I will explain how o-minimality can be used to prove that, for a modular function f with Heegner divisor, there are only finitely many $n$-tuples of $f$-images of CM-points which are multiplicatively dependent. I will also discuss the relation between this result and the Zilber–Pink conjecture for atypical intersections.