3 problems

Extension conjecture. For all symplectic manifolds $(M,\omega)$ such that

Bounded isometry conjecture. For all $(M,\omega)$,

Let $(M,\omega)$ be a symplectic manifold, let $\operatorname{Symp}_0(M,\omega)$ be its identity component, and let $\operatorname{Ham}(M,\omega)$ be the Hamiltonian subgroup. Let…