Tuesday, April 16, 14:00

Chrysostomos Psaroudakis (Thessaloniki), An Auslander Correspondence for Relative Auslander-Gorenstein Pairs.

Abstract:
In recent joint work with Tiago Cruz we introduced relative Auslander-Gorenstein pairs which provides a further homological feature of an algebra in terms of relative dominant dimension with respect to a self-orthogonal module. This class of algebras contains Auslander algebras, n-Auslander algebras (Iyama), n-minimal Auslander algebras (Iyama-Solberg) and certain Schur algebras (Cruz-Erdmann) among others. In this talk we will show an Auslander correspondence for the class of relative Auslander-Gorenstein pairs. We will outline the key ideas of this new correspondence and discuss the relative precluster tilting modules occurring in such a bijection. We will illustrate this relative Auslander correspondence to the class of Schur algebras S(2,d). This is joint work with Tiago Cruz.