The Wigner Symposia deal with the most recent developments in those mathematical areas which were introduced to physics by E.P. Wigner, and also with related fields. The central themes of the proceedings of the V Wigner Symposium (WigSym5) are quantum algebra and groups, group-theoretical developments, quantum field theory and geometry, and phase space formulations of quantum mechanics. The proceedings also contain papers on the application of these techniques in various branches of physics, and contributions in which fundamental mathematical and epistemological questions related to the foundations of quantum theory are discussed.