Title: Minimal inclusions of torsion classes and cosilting mutation

Abstract: In this talk I will consider minimal inclusions of torsion classes in the category of finite-dimensional modules over a finite-dimensional algebra.  Adachi, Iyama and Reiten proved that, if the torsion classes are functorially finite, then the minimal inclusions correspond to irreducible mutations of two-term compact silting complexes in the derived category.  In this talk I will explain how minimal inclusions of (not necessarily functorially finite) torsion classes correspond to mutations of (not necessarily compact) two-term cosilting complexes.  This is based on part of ongoing joint work with Lidia Angeleri Hügel, Jan Stovicek and Jorge Vitória.