A Characterisation of Higher Torsion Classes

In this exclusive 13-minute video, Hipolito Treffinger from IMAS-CONICET, Buenos Aires, Argentina presents the research theory behind the peer-reviewed paper "A characterisation of higher torsion classes." Explore the mathematical concepts where Treffinger explains how subcategories of an abelian length category containing a d-cluster tilting subcategory can be characterized as d-torsion classes if and only if they are closed under d-extensions and d-quotients. Learn about this generalization of classical torsion classes, how d-torsion classes form a complete lattice, and the classification of d-torsion classes associated with higher Auslander algebras of type A. The video also covers the extension of this classification to higher Nakayama algebras and provides an algorithm for explicit computation, making it valuable for mathematicians, students, and anyone interested in advanced algebraic structures.