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We will construct Lagrangian links (unions of pairwise disjoint Lagrangian surfaces) in the four-manifold which is a product of two two-spheres of appropriate (unequal) areas with the property that the link is not displaceable by Hamiltonian isotopy even though the individual components are displaceable. The proof uses orbifold Floer theory and constructions of holomorphic curves motivated by `tropical’ pictures. This talk reports on joint work with Cheuk Yu Mak.