4 problems

Let $w$ be a permutation and $lambda$ a partition, and let $\operatorname{SLT}_{w\lambda}$ be the set of semistandard set-valued skyline tableaux of shape $w\lambda$. Define the La…

Let a K-crystal be the enriched crystal structure on semistandard set-valued tableaux whose Demazure-like subcrystals have Lascoux polynomials as characters. For a fixed rectangula…

Generalized walk interpretation conjecture. There is a bijection between $\operatorname{\mathbb{S}}(n^3,\rho)$ and these walks. This would generalize the known three-dimensional Ca…

Assume $x\equiv a\pmod{k-1}$, where $2\leq a\leq k-1$. Let … and let $\operatorname{PC}_x^k(n,m)$ denote the relevant prographs and $\operatorname{\mathbb{S}}(\lambda/\mu,\rho)$ th…