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
- From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories
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.