5 problems

Let $a_n$ be the cluster variables associated with the extending vertex, and let $\tilde{K}_n$ denote the quantity whose period-two behavior is being conjectured. Period-two formul…

Let $\tilde{K}_n$ be the determinant introduced above, namely … Here the variables $a_n$ and $h_n$ are the cluster variables associated with the extending vertex and its neighborin…

Let … be the graded cluster algebra considered for affine type $\widetilde{E}_7$, with two-dimensional degree vectors. $\widetilde{E}_7$ degree-$\pm(2,1)$ conjecture. The degrees…

Suppose that $Q$ is an affine quiver, let $W$ be its Weyl group, let $\Pi$ be the associated preprojective algebra, and let $I_w$ be the ideal associated to $w\in W$. Let…

Let $Q$ be an affine quiver of affine type, let $\lambda displaystylein \mathbb P^10(Q)$, and let $E$ be a quasi-simple module in an exceptional tube. For a dimension vector…