Την Πέμπτη 05/12/2024 και ώρα 17:00, θα πραγματοποιηθεί ομιλία με τίτλο “Cohen–Macaulay modules of Auslander–Gorenstein pairs” και ομιλητή τον κ. Χρυσόστομος Ψαρουδάκης (Αναπληρωτής Καθηγητής, Τμήμα Μαθηματικών, ΑΠΘ).
Η ομιλία θα πραγματοποιηθεί στην αίθουσα Β2.
Περίληψη : In recent joint work with Tiago Cruz we introduced relative Auslander-Gorenstein pairs which provides a further homological feature of Gorenstein algebras in terms of relative dominant dimension with respect to a self-orthogonal module. We further proved an Auslander-Iyama-Solberg correspondence for these pairs which led to a new notion that generalises precluster tilting modules in the sense of Iyama and Solberg. A key ingredient for these new developmenets is the relative homological algebra based on the self-orthogonal module. In this talk, after summarising the above concepts and results, we will discuss how we can use this theory in order to describe the stable category of Cohen-Macaulay modules of a relative Auslander-Gorenstein pair. This is joint work with Tiago Cruz.