2 problems

Locally conformally symplectic non-squeezing conjecture. If $R\geq 1$, there is no compactly supported Hamiltonian lcs map

Let $1<k<m$, let $\varphi\in\operatorname{Symp}(\mathbb R^{2m})$, and let $P_{\mathbb R^{2k}}:\mathbb R^{2m}\to\mathbb R^{2k}$ be projection onto the first $2k$ coordinates. Assume…