Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : 001
Adresse :IHP
Description
 

 


Orateur(s) Simone Virili - Stuttgart,
Titre Morita Theory for Stable Derivators
Date03/02/2020
Horaire14:00 à 15:00
Résume
We give a general construction of realization functors for t-structures on the base of a strong stable derivator. In particular, given such a derivator D, a t-structure t=(D≤0,D≥0) on the triangulated category D(1), and letting A=D≤0∩D≥0 be its heart,  we construct a morphism of prederivators 
 
realDerD,
 
where Der is the natural prederivator enhancing the derived category of A. Furthermore, we give criteria for this morphism to be fully faithful and essentially surjective. If the t-structure t is induced by a suitably "bounded" co/tilting object, realt is an equivalence. Our construction unifies and extends most of the derived co/tilting equivalences that have appeared in the literature in the last years. 
Salle001
AdresseIHP
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