Tuesday, May 13, 14:00, 7.527.

Kevin Schlegel
Constructible Categories and Unbounded Representation Type.

Abstract:
We introduce the notion of a (quasi-)constructible category as a certain kind of subcategory of the module category of a finitely generated algebra. They appear at many places in representation theory, for example as Hom- and Ext-orthogonals of a finitely presented module, as functorially finite torsion(-free) classes, as the good module category over a quasi-hereditary algebra or by bounding the projective (injective) dimension. Using the Ziegler spectrum, we prove a variant of the first Brauer-Thrall conjecture for quasi-constructible categories.