H. Treffinger

activity

20242026

collaborators

5 papers

math.RT2026

Scattering diagrams for Artin algebras

Hipolito Treffinger

For an arbitrary Artin algebra $A$ , we construct a minimal and consistent scattering diagram by approximating its module category $mod A$ using the subcategories $(\mathr…

math.RT2026

Higher torsion classes, $I ¨ _{d}$ -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 $I ¨ $ -tilting theory plays a fundamental role in contemporary representation theory. In this paper we explore a high…

math.RA2025

Algebras determined by $I ¨ $ -slices

Viviana Gubitosi, Hipolito Treffinger

In this paper we revisit the notion of strict laura algebras through the lens of $I ¨ $ -tilting theory to define the family of algebras determined by $I ¨ $ -slices. We show that the re…

math.AG2025

Deformation Theory for Finite Cluster Complexes

Nathan Ilten, Alfredo NÃ¡jera ChÃ¡vez, Hipolito Treffinger

We study the deformation theory of the Stanley-Reisner rings associated to cluster complexes for skew-symmetrizable cluster algebras of geometric and finite cluster type. In partic…

math.CT2024

An algebraic approach to Harder-Narasimhan filtrations