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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Lundi 2 Mars 2020 |
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Heure |
15:30 |
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Institut |
IHES |
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Salle |
Centre de conférences Marilyn et James Simons |
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Nom de l'orateur |
Nuiten |
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Prenom de l'orateur |
Joost-Jakob |
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Addresse email de l'orateur |
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Institution de l'orateur |
Montpellier |
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Titre |
Koszul Duality for Lie Algebroids |
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Résumé |
A classical principle in deformation theory asserts that any formal deformation problem over a field of characteristic zero is classified by a differential graded Lie algebra. Using the Koszul duality between Lie algebras and commutative algebras, Lurie and Pridham have given a more precise description of this principle: they establish an equivalence of categories between dg-Lie algebras and formal moduli problems indexed by Artin commutative dg-algebras. I will describe a variant of this result for deformation problems around schemes over a field of characteristic zero. In this case, there is an equivalence between the homotopy categories of dg-Lie algebroids and formal moduli problems on a derived scheme. This can be viewed as a derived version of the relation between Lie algebroids and formal groupoids. |
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Numéro de preprint arXiv |
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Commentaires |
Séminaire Géométrie et Quantification |
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Fichiers attachés |
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