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PRODID:-//Memento EPFL//
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SUMMARY:Koszul Duality of Algebras for Operads
DTSTART:20200526T101500
DTEND:20200526T111500
DTSTAMP:20260427T204053Z
UID:acc5f1b402777732540669772bcbdf7e9635dbe834a6525a320fba85
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gijs Heuts\, Universiteit Utrecht\nGinzburg-Kapranov and Getz
 ler-Jones exhibited a duality between algebras for an operad O and coalgeb
 ras (with divided powers) for a "Koszul dual" cooperad BO\, taking the for
 m of an adjoint pair of functors between these categories. Instances of th
 is duality include that between Lie algebras and cocommutative coalgebras\
 , as in Quillen's work on rational homotopy theory\, and bar-cobar duality
  for associative (co)algebras\, as in the work of Moore. I will review th
 is formalism and discuss the following basic question: on what subcategor
 ies of O-algebras and BO-coalgebras does this duality adjunction restrict 
 to an equivalence? I will discuss an answer to this question and explain t
 he relation to a conjecture of Francis and Gaitsgory.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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