6 problems

Graph characterization conjecture. Then $(G,p)$ is generically minimally rigid on ${\mathcal{M}}$ if and only if $G=K_{2}$, $K_3$, $K_4$, or $G$ is $(2,1)$-tight.

Existence conjecture. There exists a normed space with a second-order rigid framework that is locally and continuously flexible.

Let $G$ be a graph and let $G(P)$ be a framework whose vertex configuration $P$ is in general position. A system of strong geometric conditions is a system of algebraic geometric c…

Locality conjecture. Every irreducible representation of $\mathsf{so}(2,3)$ is local on a framework $M$.

Universal rigidity conjecture. Every $d$-GGR graph has a $d$-GUR framework.

Let $G=\{J,B\}$ be the connectivity of a framework, with $j=|J|$ joints and $b=|B|$ bars, and let $p$ be a plane configuration generic with symmetry group ${\cal G}$. Write $j_c$ f…