The CIMPA research school "Homological Methods, Representation Theory and Cluster Algebras" is intended for PhD and postdoctoral students from Argentina and surrounding South American countries and specifically for students in the region of Mar del Plata. As a sequel to the CIMPA research school "Homological Methods and Representations of Non-Commutative Algebras" held in Mar del Plata in 2006 and to the "South-American Meeting on Representations of Algebras and Related Topics" held in Mar del Plata in 2010, this research school offers courses and research talks on advanced research topics related to the representation theory of finite-dimensional algebras, to Auslander-Reiten theory, to homological algebra and to cluster algebras. The school lasts two weeks. Each week features 4 courses and 11 research talks.