Friday, August 5, 16.00, 7.527

Matthew Pressland (Bonn)
Internally Calabi-Yau algebras.

Abstract:
I will explain what an internally Calabi-Yau algebra is, how such algebras arise from Frobenius categories with cluster-tilting objects, and vice versa. Frozen Jacobian algebras provide a source of internally 3-Calabi-Yau algebras, which are related to the categorification of cluster algebras. I will show how to associate an internally 3-Calabi-Yau frozen Jacobian algebra to any suitably graded quiver with potential.