This talk is based on joint work in progress with Mina Aganagic, Spencer Tamagni and Peng Zhou. We’ll discuss work in progress toward a homological mirror symmetry statement. The A side is the k-fold symmetric product of a double cover of the cylinder ramified at n points. The B side is a matrix factorization category on the k-th horizontal hilbert scheme of the resolved A_{n-1} surface. Time permitting, I’ll exploit the informal nature of this seminar to discuss potential applications to the relation between sl(2) and gl(1|1) link invariants.