2 problems

Let $(M,\omega)$ be a monotone symplectic manifold admitting a pseudo-rotation. Here $\gamma_\mathbb{Z}$ denotes the spectral norm over the integers, and $\phi^k$ denotes the $k$-t…

Let $S$ be an orientable analytic surface. An analytic symplectomorphism of the sphere with only two fixed points and no other periodic point, or of a compact cylinder without peri…