Endomorphism algebras of silting complexes

Morita equivalence states that a cocomplete abelian category is a module category whenever it has a so-called progenerator. In this thesis we look at how we can generalize this classical result. It is a theorem of Brenner and Butler that taking a tilting object instead of a progenerator we get an equivalence of full subcategories. We have also a similar result in the case of silting complexes, due to Buan and Zhou. We finish the thesis with a characterization of the endomorphism algebras of silting objects via shod algebras. Many examples will be given.