Gromov-Witten Invariants and Complex Cobordism

Since the beginning of the subject, it has been speculated that Gromov-Witten invariants should admit refinements in complex cobordism. I will propose a resolution of this question based on joint work-in-progress with Abouzaid, building on recent advances in Symplectic Topology (FOP perturbations developed jointly with Xu) and functorial resolution of singularities from algebraic geometry.