In-Person Talk 

 This is a progress report on the speaker's program to study higher dimensional symplectic embeddings by constructing and computing new symplectic capacities. Among other things, we will explain (1) a proof (in preparation) of D. McDuff's stabilized ellipsoid conjecture, (2) an approach to defining capacities without virtual or Hamiltonian perturbations, and (3) new computations for convex toric domains.