8 problems

Let $Q$ be the quiver with two vertices $0,1$, no loops, and $k\in\mathbb{Z}_{\geq 1}$ arrows from $0$ to $1$. For $n\in\mathbb{Z}_{\geq 1}$, define the signed quantum numbers … Us…

Let $b,c>0$ with $bc>4$, and let $r$ lie in the Badlands interval … For positive integers $i,j$, let $\tau(i,j)$ be the corresponding wall-function coefficient. Asymptotic growth c…

Elgin–Reading–Stella's conjectures. For $i,j>0$, the coefficient $\tau(i,j)$ satisfies all of the following: it is a polynomial in $b$, $c$, and $g$; this polynomial has $g$ as a f…

Let $B$ be an exchange matrix. The scattering fan–mutation fan coincidence conjecture. The scattering fan $\operatorname{ScatFan}^T\!(B)$ coincides with the mutation fan…

Let $Y$ be a Fano manifold with smooth anticanonical divisor $D$. For a suitable submonoid $P\subset \operatorname{Pic}(Y)$, let $(X,W)$ be the intrinsic mirror dual, where … is a…

Let $\f{D}_{\operatorname{in}}$ be an initial scattering diagram of the form specified in the source, with incoming wall functions determined by Laurent polynomials $p_i(t)$. A sc…

Let $B$ be the base of the log Calabi–Yau surface, and let $\beta\in\operatorname{NE}(Y)$. Let $\gamma$ be a broken line in $B$ for the canonical scattering diagram, and choose a n…

Let $\varphi$ be a tropical function on the tropicalization of a cluster variety, or of a fiber of a cluster variety, let $\s{Y}$ denote that variety or fiber, and let $\f{w}$ be a…