4 problems

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…

Let $Y={\rm OG}(n,2n+1)$ and $Z={\rm LG}(n,2n)$, with structure constants $b_{\lambda,\mu}^{\nu}$ and $c_{\lambda,\mu}^{\nu}$, respectively, indexed by strict partitions $\lambda$,…

Let $\mathcal{O} \subseteq \mathrm{LR}(\alpha,\scalebox{.5}{\yng(1)},\beta, \gamma)$ be an orbit of $\omega$. Let $K_1(\mathcal{O})$ and $K_2(\mathcal{O})$ denote the sets of genom…