Statut  Confirmé 
Série  MATHIHES 
Domaines  math 
Date  Mercredi 22 Janvier 2020 
Heure  10:30 
Institut  IHES 
Salle  Amphithéâtre Léon Motchane 
Nom de l'orateur  Bondarko 
Prenom de l'orateur  Mikhail 
Addresse email de l'orateur  
Institution de l'orateur  St. Petersburg State University 
Titre  Weight Structures on Triangulated Categories 
Résumé  Weight structures give certain filtrations of triangulated categories; the definition is a certain cousin of that of tstructures. Particular cases of weight decompositions give stupid filtrations of complexes and cellular towers for spectra. I will also mention interesting motivic and Hodgetheoretic examples of weight structures along with methods for constructing them. Weight structures yield weight filtrations and spectral sequences for cohomology as well as certain weight complex functors. In particular, there exists an exact conservative functor from (relative) constructible Voevodsky motives into complexes of Chow motives, whereas the corresponding weight spectral sequences vastly generalize Deligne's ones. Lastly, the relations between weight structures and tstructures yield new methods for constructing tstructures and proving their properties. 
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