Workshop on Recent Developments in Hodge Theory and O-minimality

Abstract: 
I'll start by discussing some work with Binyamini, Schmidt, and Thomas in which we prove a uniform Manin-Mumford result for products of CM elliptic curves. I'll show how we apply this to obtain an effective Andre-Oort result for fibre powers of the Legendre family. I'll then discuss work in progress with Schmidt, on extending this to multiplicative extensions.