“3d mirror symmetry” encompasses a range of statements relating symplectic and algebraic invariants of a dual pair of hyperkähler manifolds. In the spirit of the homological mirror symmetry program, we propose that the best statement of (topologically twisted) 3d mirror symmetry is an equivalence between 2-categories of boundary conditions for a pair of 3-dimensional topological field theories: namely, Rozansky-Witten theory and a still under development “Fukaya-Fueter theory”. By modeling the Fukaya-Fueter theory by perverse schobers, we establish this “homological 3d mirror symmetry” in the abelian case. This is based on joint work with Justin Hilburn and Aaron Mazel-Gee.