3 problems

Polynomial cross-ratio conjecture. A set of cross ratios making all coefficients of the $N$-point comb channel Casimir operators polynomial in $d\geq N-2$ is obtained by complement…

Given an $(n,N)$-Lagrangian configuration $(X_1,\ldots,X_N)$, choose nonzero representatives $x_i$ on the lines $X_i$, extend them to an $N$-antiperiodic sequence, and write…

Let $a,b,c,d$ be elements in an algebraic matroid, and let $cr(a,b,c,d)$ denote their cross ratio. Algebraic-group characterization conjecture. … in an algebraic matroid if and onl…