7 problems

Saturation conjecture. One can take $N=1$ in the above theorem. Equivalently, for integer $\lambda$, $\mu$, and $u$, the relations $lambdaboxplusmusimcnu$ and…

Horn's conjecture. The relation $\rho\boxplus\sigma\sim_c\tau$ holds if and only if the trace identity holds and the displayed inequality holds whenever $i$, $j$, and $k$ are admis…

Saturation conjecture. The classical–quantum equivalence persists even for $N=1$; equivalently, whenever…

Saturation conjecture. If there exists a positive integer $k$ such that

A rigid tree honeycomb is a rigid tree measure whose simple degenerations are classified into the categories listed in the preceding discussion, with categories (5)–(10) denoting t…

Knutson–Tao conjecture. The direct sum of Hermitian matrices corresponds to an overlay of honeycombs; conversely, Littlewood–Richardson fillings should correspond to Hermitian matr…

Fulton's conjecture. Every integral honeycomb that is $\mathbb{Z}$-rigid is also $\mathbb{R}$-rigid.