Constructing the lattice of wide subcategories

Date:

Conference Talk in Flash Talks in Representation Theory at NTNU 2022 at Online

10-minutes flash talk, based on my paper

Abstract

I will show that we can construct the lattice of wide subcategories of the module category of a finite-dimensional algebra from the lattice of torsion classes only using its lattice structure. This enables us to check various properties of the lattice of wide subcategories using computer, and I will give some results and conjectures on this lattice.