10 problems

Noferini–Williams conjecture.

Let $Br_\Delta$ be the braid group associated with a triangulation $\Delta$, and let … be its abelianization. Abelianization non-injectivity conjecture. The canonical homomorphism…

Let $G_n^+$ be the rearrangement group associated with the oriented edge replacement system $\mathcal{D}_n^+$, whose elements preserve the circular ordering of the branches at ever…

Let $V//G$ be a GIT quotient satisfying the source's mild hypotheses, including that the $G$-unstable locus has codimension two. Let $T_G$ be a maximal torus of $G$, let $W$ be its…

Weakly-top group abelianization growth conjecture. There exists $\delta>0$ such that every weakly-top group $G$ satisfies

Let $u'$ be the parameter of the $T_3$ equation, and let $u'_*\approx0.041992794$ denote the positive collision point of the ${\mathcal W}$-abelianizations described in the numeric…

Let $u>0$ and $\hbar>0$, and consider the $T_3$ equation and its associated ${\rm SL}(3)$-connection. Apply the higher-rank exact WKB construction with phase $\vartheta=0$. Exact W…

Let $A\to M$ be a transitive Lie algebroid, and let $p:A\to A^\mathrm{ab}$ be the morphism to its abelianization, characterized by the universal property of abelianization. Surject…

Let $G$ be a finitely generated group, let $w(G)$ be its weight, and let $G_{ab}=G/[G,G]$ be its abelianization. For $n\geq\max(w(G),2)$, an ordered $n$-tuple is normally generatin…

F-A characterization conjecture. $G$ is F-A if and only if