Emine Yıldırım (ICMS)
Date
Monday March 30, 20263:00 pm - 4:00 pm
Location
Jeffery Hall, Room 422Algebra & Geometry Seminar
Speaker: Emine Yıldırım (The International Center for Mathematical Sciences (ICMS) - Sofia)
Title: Lattices from representation theory of algebras
Abstract: Torsion theories give rise to nice lattice structures in abelian categories. Pretorsion theories were recently introduced as a non-pointed analogue, allowing torsion-theoretic methods to be extended to broader categorical settings. In this talk, we investigate pretorsion classes in the module category of a finite-dimensional algebra and prove that they are naturally organized into a lattice under inclusion. We further analyze when this lattice is distributive and compare it with the classical lattice of torsion classes.This is joint work with Federico Campanini and Francesca Fedele.