Tuesday, July 15, 14:00, 7.527

Georgios Dalezios (Verona), Derivators associated to Hovey triples.

Abstract:

For a hereditary abelian model structure M, we sketch the construction of a strong and stable derivator with base the homotopy category of M. To each small category I the derivator assigns an algebraic triangulated category, which is given as the stable category of the Frobenius category of fibrant-cofibrant objects coming from suitable abelian model structures on the category of functors from I to M. This is joint work in progress with Henrik Holm and Chrysostomos Psaroudakis.