String Theory Journal Club

We discuss algebraic Nahm equations and their resultants from the combinatorial point of view, using the machinery developed for mixed resultants. Such equations describe semi-classical limit of the quiver partition function (should be not confused with ODE Nahm equations), which encodes motivic Donaldson-Thomas invariants of the quiver, and is in fact q-hypergeometric series of special form. Specializations of such q-series may lead to various dualities between quivers, knots and topological strings.