Derivators
Fritz Hörmann (Freiburg)
What 


When 
Jul 02, 2015 from 03:30 pm to 04:30 pm 
Where  Mainz, 05432 (Hilbertraum) 
Contact Name  Duco van Straten 
Add event to calendar 
vCal iCal 
Derivators have been introduced by Grothendieck, as one of his last mathematical contributions (and by Heller and others independently) to simplify, extend, and conceptually clarify the notions of derived and triangulated categories.
Extended to the context of fibered (multi)categories (e.g. any kind of sheaves of abelian groups on spaces, schemes, stacks etc.) the notion allows for a neat solution to problems of cohomological descent as well as homological descent. This gives an elegant way of extending the sixfunctor formalism of Grothendieck (which encodes, among other things, dualities like e.g. Serre duality, Poincar'eVerdier duality) to stacks.