67 citations · 106 across the 25 of their papers we have counts for
25 papers
Scattering diagrams for Artin algebras
Hipolito Treffinger
For an arbitrary Artin algebra , we construct a minimal and consistent scattering diagram by approximating its module category using the subcategories $(\mathr…
Higher torsion classes, -tilting theory and silting complexes
Jenny August, Johanne Haugland, Karin M. Jacobsen +3
Initiated in work by Adachi, Iyama and Reiten, the area known as -tilting theory plays a fundamental role in contemporary representation theory. In this paper we explore a highe…
Algebras determined by -slices
Viviana Gubitosi, Hipolito Treffinger
In this paper we revisit the notion of strict laura algebras through the lens of -tilting theory to define the family of algebras determined by -slices. We show that the repr…
Weak stability conditions and the space of chains of torsion classes
Aran Tattar, Hipolito Treffinger
In this paper we show an explicit relation between chains of torsion classes and weak stability conditions over an abelian category. In particular, up to a natural equivalence, the…
Wall-and-chamber structures for finite-dimensional algebras and -tilting theory
Maximilian Kaipel, Hipolito Treffinger
The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship w…
A geometric perspective on the -cluster morphism category
Sibylle Schroll, Aran Tattar, Hipolito Treffinger +1
We show how the -cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that t…