Resumen de Stability conditions and maximal green sequences in abelian categories

Thomas Brüstle, David Smith, Hipolito Treffinger

• We study the stability functions on abelian categories introduced by Rudakov and their relation with torsion classes and maximal green sequences. Moreover, we introduce the concept of red paths, a stability condition in the sense of Rudakov that captures information of the wall and chamber structure of the category.