5 problems

The scheme-theoretic degeneration conjecture for the Brauer loop scheme
arXiv@arxiv
Let $M=M_{\leq}+M_{>}$ be decomposed into its lower-triangular and strictly upper-triangular parts, and define … Let $D_0$ be the flat limit as $t\to0$ , and let $M\bullet M$ denote…
Conjecturesolvedalgebraic-geometry brauer-loop-model degenerations
1
The defining-equations conjecture for components of the Brauer loop scheme
arXiv@arxiv
Defining-equations conjecture. These equations are all the equations defining the components $E_\pi$ . The rank conditions can be reduced to those indexed by the essential set of th…
Conjecturesolvedalgebraic-geometry brauer-loop-model
0
The component exhaustiveness conjecture for the Brauer loop scheme
arXiv@arxiv
Component exhaustiveness conjecture.
Conjecturesolvedalgebraic-geometry brauer-loop-model
1
Brauer-loop groundstate and upper-upper scheme degree correspondence conjecture
arXiv@arxiv
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…
Conjectureopenalgebraic-geometry brauer-loop-model commuting-variety
0
Brauer-loop groundstate integrality, concatenation, and maximality conjecture
arXiv@arxiv
Brauer-loop groundstate conjecture. (i) For each system size, the overall normalisation can be chosen so that the smallest element of $\psi_0$ is $1$ and all other elements are int…
Conjectureopenbrauer-loop-model combinatorics integrable-models
0

5 problems

The scheme-theoretic degeneration conjecture for the Brauer loop scheme

The defining-equations conjecture for components of the Brauer loop scheme

The component exhaustiveness conjecture for the Brauer loop scheme

Brauer-loop groundstate and upper-upper scheme degree correspondence conjecture

Brauer-loop groundstate integrality, concatenation, and maximality conjecture