3 problems

Move-connectivity conjecture. If

Let $Z={\rm LG}(n,2n)$ be the Lagrangian Grassmannian, and let $c_{\lambda,\mu}^{\nu}$ denote its Schubert structure constants. Let $\mathtt{QBallot}_{\mu}(\nu/\lambda)$ be the set…

Let $Z={\rm LG}(n,2n)$ be the Lagrangian Grassmannian, and let $c_{\lambda,\mu}^{\nu}$ denote its Schubert structure constants for strict partitions $\lambda$, $\mu$, and $\nu$. Le…