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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Duality\, descent and extensions
DTSTART:20121012T141500
DTEND:20121012T153000
DTSTAMP:20260408T101530Z
UID:b0a1271fc4133c9c6a65b028afe07f599d302477bad5233f49dd0be6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Kathryn Hess (EPFL)\nIn recent work with Alexander Berglund\, 
 we studied the relationships among the notions of Koszul duality for dg al
 gebras\, Grothendieck descent for morphisms of dg algebras and Hopf-Galois
  extensions of dg algebras.  We showed in particular if B is a multiplica
 tive acyclic closure of a dg algebra A\, and a dg Hopf algebra H coacts on
  B by algebra maps\, then H is Koszul dual to A if and only if the inclusi
 on map of A into B is an H-Hopf-Galois extension satisfying Grothendieck d
 escent.\nIn this talk I will briefly recall the notions of Koszul duality\
 , homotopic Grothendieck descent and homotopic Hopf-Galois extension\, the
 n describe the common categorical framework into which all of these notion
 s fit and sketch the proof of the result stated above.  I will also expla
 in how to how to construct families of examples based on Hirsch algebras t
 o which our framework can be applied.
LOCATION:MA 10 http://plan.epfl.ch/?zoom=19&recenter_y=5864094.13968&recen
 ter_x=731149.38531&layerNodes=fonds\,batiments\,labels\,events_surface\,ev
 ents_line\,events_label\,information\,parkings_publics\,arrets_metro\,even
 em
STATUS:CONFIRMED
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