3 problems

Let $(v_3,v_4,v_5,\dots)$ be a sequence such that $v_n$ is the volume of some hyperbolic $n$-bongle. Asymptotic volume conjecture. The normalized volumes satisfy … The stated limit…

Let an alternating hyperbolic $n$-bongle have $k$ innies and $n-k$ outies, where $n\geq 3$ and $k\leq n/2$. Volume monotonicity conjecture. For fixed $n$, the volume increases as…

Let $F \subset \mathbb{C}$ be a number field not contained in $\mathbb{R}$. Let … Let $r_2$ be the number of complex places of $F$. The volume-basis conjecture. The lattice generat…