The pseudo-hyperbolic space Hp,q is a pseudo-Riemannian analogue of the classical hyperbolic space. In this talk, I will explain how equivariant maximal surfaces in H2,n are related to harmonic maps into some non-compact symmetric space (so in particular to Higgs bundles). This link provides a powerful tool to study maximal representations in rank 2 Hermitian Lie groups. This is a joint work with Brian Collier and Nicolas Tholozan.