3 problems

Capacity finiteness conjecture. This capacity is finite for every manifold $Q$ that is not a $K(\pi,1)$.

Let $T_{a,b,c}\subset \mathbb{C}P^2$ be Vianna's monotone Lagrangian torus associated with a Markov triple $(a,b,c)\in\mathfrak M$. A capacity conjecture. There is no monotone symp…

Let $B^{2n}(R)$ be the ball of radius $R$ centered at the origin in the symplectic vector space $\mathbb{R}^{2n}$, let $\mathbb{R}^{2k}$ be a symplectic subspace with $1<k<n$, and…