5 problems

Asai–Iyama's conjecture. If $(Q,W)$ is a non-degenerate Jacobi-finite quiver with potential, then

Let $C(W_n^I)$ be the potential associated with the cyclic quiver construction, for parameters $m,n\in\mathbb{Z}_n$. Non-degeneracy conjecture. For any $m,n\in\mathbb{Z}_n$, the po…

Let $S=\mathbb{C}[x_0,\ldots,x_n]$ be the graded polynomial ring in $n+1$ variables, with $n\geq 2$, and let $f\in S_d$ be a homogeneous polynomial such that the hypersurface…

Let $A$ be a finite-dimensional Jacobian algebra. Consider the three sets of real Schur representations: all real Schur representations; those constructed from the stated Schur-rep…

Let $f$ be an invertible polynomial and let $G$ be a commutative group acting as in the preceding definitions. Write ${\rm Jac}'(f,G)$ for a $G$-twisted Jacobian algebra of $f$, an…