11/23: Andreas Wieser

Simultaneous supersingular reductions of CM elliptic curves

Abstract: In joint work with Menny Aka, Manuel Luethi and Philippe Michel, we study the simultaneous reductions at several supersingular primes of elliptic curves with complex multiplication. We show – under additional congruence assumptions – that the reductions are surjective on the product of supersingular loci when the discriminant of the order becomes large. The goal for this talk is to explain this result while emphasizing the role of homogeneous dynamics.