3 problems

Tilde-operation conjecture for skew Schur functions. For all $\mu/\alpha$ and $\nu/\beta$, if $(\mu/\alpha,\nu/\beta)^\sim=(\lambda/\sigma,\rho/\tau)$, then

Fomin–Fulton–Li–Poon conjecture for skew partitions. For any skew partitions $\mu/\alpha$ and $\nu/\beta$, if

McNamara–van Willigenburg's conjecture. The diagrams $\mathcal{D}$ and $\mathcal{E}$ satisfy $\mathcal{D}\sim\mathcal{E}$ if and only if the factors satisfy:…