Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | math |
Date | Monday 2 March 2020 |
Time | 15:30 |
Institute | IHES |
Seminar Room | Centre de conférences Marilyn et James Simons |
Speaker's Last Name | Nuiten |
Speaker's First Name | Joost-Jakob |
Speaker's Email Address | |
Speaker's Institution | Montpellier |
Title | Koszul Duality for Lie Algebroids |
Abstract | 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. |
arXiv Preprint Number | |
Comments | Séminaire Géométrie et Quantification |
Attachments |
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