Abstract: I will discuss a recent proposal for mirror symmetry of singular CY double covers, originally proposed by Hosono-Lee-Lian-Yau from the point of view of gauged linear sigma models. Concretely I will argue that a physics realization of noncommutative resolutions can be used to characterize the mirror of such singular double covers and make computation of B-brane central charges (mirror to period integrals) and other properties, very explicit. I will present other consequences and generalizations, as time allows.