2 problems

Let $\mathbb{C}P^n$ carry the Fubini–Study symplectic form $\omega_{\operatorname{FS}}$. A Lagrangian torus $L\subset \mathbb{C}P^n$ is extremal when it realizes the relevant Lagra…

Let $G$ be a compact (semi)simple subgroup of $\SU{N}$ for some $N$, and let $\mathcal O$ be a Lagrangian orbit of $G$ in $\CP^{N-1}$. Hamiltonian stability conjecture. If $G$ admi…