6 problems

Liechti–Strenner's conjecture. For all $k\geq 2$,

For each genus $g$, let $\delta_{g,0}$ be the minimum dilatation of pseudo-Anosov maps on the closed surface of genus $g$. Let $\mu=\frac{1+\sqrt{5}}{2}\approx1.618$ be the golden…

Let $\underline{\delta}_9$ be the stated candidate value for the minimum dilatation of pseudo-Anosov braids with 9 strands, and let $x$ denote the variable in its defining polynomi…

Let $\delta_n$ be the minimum dilatation among pseudo-Anosov braids with $n$ strands, and let $\underline{\delta}_n$ denote the referenced candidate value. The remaining values of…

Let $A(\Gamma)$ be a right-angled Artin group and let $\phi\in\operatorname{Aut}(A(\Gamma))$ be an automorphism. The polynomial growth conjecture. If the dilatation $\lambda_\phi$…

N(1)-fibration asymptotic conjecture.