Tuesday, September 30, 14:00, 7.527
Jorge Vitoria (Verona)
Tilting theory and equivalences of recollements, I and II.
Recollements are useful decompositions of abelian or triangulated
categories. Those in which all categories involved are module
categories or their derived counterparts are of particular interest.
One of the approaches to study such decompositions is the search for a
"standard form", i.e., the search for a suitable representative in the
equivalence class of a given recollement. In this talk we will present
two solutions to this problem: one for recollements of module
categories and one for recollements of derived categories of finite
dimensional hereditary algebras. This will be done by analysing in
detail all the important tools necessary to understand equivalences of
recollements via tilting theory. In particular, we will review Morita
theory for derived categories in some detail.