3 problems

Let $\lambda$, $\mu$, and $\nu$ take values in the non-negative integers. The Littlewood–Richardson saturation conjecture. The Littlewood–Richardson coefficient…

Let $M$ and $\Lambda$ be $n\times n$ Hermitian matrices over $\mathbb{C}$. For $0\leq s\leq t\leq n$, let $U_s$ and $V_{t-s}$ be orthogonal subspaces of ranks $s$ and $t-s$, respec…

Component–hive bijection conjecture. The generic value of $H$ on each component of $\mathcal{G}r_{\lambda^1 \cdots \lambda^k}$ is a $k$-hive, and this gives a bijection between the…