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SUMMARY:Koszul Duality for Lie Algebroids
DTSTART:20200302T143000Z
DTEND:20200302T153000Z
DTSTAMP:20261009T111300Z
UID:indico-event-5714@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Joost-Jakob Nuiten (Montpellier)\n\nA classical prin
 ciple in deformation theory asserts that any formal deformation problem ov
 er a field of characteristic zero is classified by a differential graded L
 ie 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 alg
 ebras 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 eq
 uivalence between the homotopy categories of dg-Lie algebroids and formal 
 moduli problems on a derived scheme. This can be viewed as a derived versi
 on of the relation between Lie algebroids and formal groupoids.\n\nhttps:/
 /indico.math.cnrs.fr/event/5714/
LOCATION:Centre de conférences Marilyn et James Simons (IHES)
URL:https://indico.math.cnrs.fr/event/5714/
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