13.30 Monica Garcia (Paris-Saclay University)

Title: _g-finiteness in the category of projective presentations _

Abstract: An algebra is said to be g-finite if it admits finitely many isomorphism classes of tau-tilting pairs. This notion was introduced and thoroughly studied by L. Demonet O. Iyama and G. Jasso, who showed that this property is equivalent to the module category admitting finitely many isomorphism classes of bricks (which is equivalent to having finitely many wide subcategories), finitely many functorially finite torsion classes, and equivalent to all torsion classes being functorially finite. Many of these concepts and their relationships have been shown to have counterparts in the extriangulated category of two-term complexes of projective modules. In this talk, we introduce new equivalent conditions to an algebra being g-finite in the context of the category of 2-term complexes. Namely, we establish that being g-finite is equivalent to the category of 2-term complexes admitting finitely many thick subcategories, finitely many complete cotorsion pairs and equivalent to all cotorsion pairs being complete.

14.45 Esther Banaian (Aarhus University)

Title: TBA

Abstract: TBA

16.00 Emily Gunawan (University of Massachusetts Lowell)

Title: TBA

Abstract: TBA

Tea, coffee and cake will be provided.