Geometry and Physics Seminar: Charlie Beil

A dimer algebra is a type of quiver algebra whose quiver embeds in a torus, with homotopy-like relations.  Dimer algebras with the cancellation property are Calabi-Yau algebras, and their centers are 3-dimensional Gorenstein singularities.  Non-cancellative dimer algebras, on the other hand, are not Calabi-Yau, and their centers are nonnoetherian.  In contrast to their cancellative counterparts, very little is known about these algebras, despite the fact that almost all dimer algebras are non-cancellative.  I will describe how their centers are also 3-dimensional singularities, but with the strange property that they contain positive dimensional 'smeared-out' points.  Furthermore, I will describe how this nonlocal geometry is reflected in the homology of certain vertex simple