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


Orateur(s) Gustavo JASSO - Bonn,
Titre On the Dold-Kan correspondence
Horaire14:00 à 15:00
RésumeThe classical Dold-Kan correspondence is an explicit equivalence of categories between the category of simplicial abelian groups and the category of connective chain complexes of abelian groups. There is a recent variant of this correspondence, due to Dyckerhoff, where the category of abelian groups is replaced by the $(\infty,2)$-category of stable $\infty$-categories. In this talk I will discuss, using only rudiments of $\infty$-category theory, common aspects of these correspondences and explain how these fit within the conjectural framework of categorified homological algebra. The talk is based on join work in progress with Tobias Dyckerhoff and Tashi Walde.