On the central geometry of nonnoetherian dimer algebras (Q2022439)

Dimer models have an intimate connection with non-compact toric Calabi-Yau varieties, via quivr gauge theories. There has been much activity in the pure mathematics community to make these connections rigourous. The current paper is a very nice piece of work in this direction, in a long programme by the author to understand Calabi-Yau algebras, dimer algebras and related representation theory and algebraic geometry. It shows that the center of a nonnoetherian dimer algebra on a torus has Krull dimension 3 and that its quotient by its nilradical is Gorenstein (CY).