Wednesday 10 June 2015 h. 14:30, room 2BC30

Francesco Mattiello (Padova, Dip. Mat.)

"An introduction to derived categories"

Abstract

Derived categories were introduced in the sixties by Grothendieck and Verdier and have proved to be of fundamental importance in Mathematics.

Starting with a short review of the basic language of category theory, we will first introduce the notion of abelian category with the help of several examples. Then we will spend some time giving a thorough motivation for the construction of the derived category of an abelian category. Finally, we will look at a way to break a derived category into two pieces that permit (among other things) to recover the original abelian category.