2 problems

Brauer-loop degree correspondence conjecture. The groundstate element of the Brauer Hamiltonian for $L=2n$ corresponding to $\pi\in S_n$ equals the degree of $\overline{E}_\pi$. Fo…

Knutson's conjecture. The variety $\overline{E}_\pi$ is defined as a scheme by the following three sets of equations and rank conditions: $XY$ and $YX$ are upper triangular;