Seminario Dottorato: Recollements from tilting modules

Wednesday 24 October 2012 h. 15:00, room 2BC30
Alice PAVARIN (Dip. Mat. - Padova)
"Recollements from tilting modules"

-Abstract
In this talk I will expose some special and computable examples of recollements and tilting theory.
I will start by presenting the concept of modules over a ring, complexes of modules and derived category of a ring. Then I will give examples of finitely generated tilting modules over a path algebra, that is, over a finite dimensional algebra generated by the paths of a finite, acyclic quiver. In the final part I will provide a glimpse over the general theory of recollements through the example of the endomorphism ring of the finitely generated tilting module Q+(Q/Z) over the ring of integers Z.

Rif. int. C. Marastoni, T. Vargiolu