Title: Double branched covers of links, signatures, and invariants from Hegaard Floer theory Abstract: Signatures are useful integer invariants that appear in many settings. They can be defined for manifolds, links, etc. In this talk we'll focus on 3-manifolds that can be obtained as double branched covers of (multi-component) links in the 3-sphere. We'll relate the signature of the branched link to an invariant of the branched cover that comes from Heegaard Floer theory, a powerful set of tools for studying 3-manifolds. This generalizes work of Owens-Manolescu, Owens-Lisca and others, and is work in progress with Marco Marengon.