In 2020, Lambert-Cole, Meier and Starkston proved that every symplectic 4-manifold admits a trisection that is compatible with the symplectic structure in the sense that the symplectic form induces a Weinstein structure on each of the three sectors of the trisection. The goal of this research group is to expand this work in higher dimensions, that is to study, for symplectic manifolds of any dimension, the existence of multisections compatible with the symplectic structure.