We introduce the notion of so-called (support) tau-tilting modules over a finite-dimensional algebra A, show an interesting link between the set of support tau-tilting modules and the set of functorially finite torsion classes in modA. Finally, we explain the definition of "Mutation of support tau-tilting modules" which has remarkable connections with cluster-tilting theory and cluster algebras.
  Reference: Takahide Adachi, Osamu Iyama, Idun Reiten, "tau-tilting theory",http://arxiv.org/abs/1210.1036,section 2