Title: Symplectic duality and bow varieties 

Abstract: Symplectic duality is the well-supported idea that symplectic algebraic varieties ought to come in pairs, with the properties of each variety in the pair deeply linked. One mechanism for constructing such pairs comes from quiver gauge theories. For gauge theories from type A quivers, the corresponding symplectic varieties are known as bow varieties and contain as examples flag varieties, Kleinian singularities, and certain moduli spaces of sheaves on surfaces. I will discuss some generalities about symplectic duality, with an aim toward explaining joint work with Tommaso Botta proving a certain enumerative algebro-geometric duality statement for bow varieties.