Conical symplectic resolutions often come in dual pairs. The Hikita conjecture relates the cohomology of one resolution to the coordinate ring of the other. Recently, two extensions of this conjecture have vbeen proposed: an equivariant version (due to Nakajima) and a quantum version (due to McBreen, Proudfoot, and myself). I will describe these different conjectures and survey the recent progress towards their proofs.