3 problems

Shifted $J$-Grothendieck expansion conjecture. If $\lambda$ is a strict partition, then

Shifted Grothendieck positivity conjecture. One has

Let $\mu$ be a strict partition. For strict partitions $\lambda\supseteq\mu$ with $\ell(\lambda)=\ell(\mu)$, let $\textsf{SD}_{\lambda/\mu}$ be the shifted skew diagram. A vertical…