Liouville symmetry groups and pseudo-isotopies

Given a Liouville manifold M, we can define various subgroups of the symplectomorphism group, and a number of Serre fibrations between them. This leads us to the Liouville pseudo-isotopy group, important for relating (for instance) compactly supported symplectomorphisms of M and contactomorphisms of its boundary. After explaining the background, the talk will focus on two things: a proof that the pseudo-isotopy group is connected under a Liouville-vs-Weinstein hypothesis (and \pi_1=0), and equivalence between multiple formulations of the symplectic Schoenflies conjecture.