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SUMMARY:The nerve of a differential graded algebra - Getzler\, E (Northwes
 tern University)
DTSTART:20130405T083000Z
DTEND:20130405T093000Z
UID:TALK44364@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The nerve of a differential graded algebra is a quasicategory:
  in this talk\, we explain what the quasi-iso-morphisms look like in this 
 quasicategory. If the dg algebra A is a dg Banach algebra concentrated in 
 dimensions i>-n \, the nerve of A is a Lie n-stack\, that is\, a quasicate
 gory enriched in Banach analytic spaces. We show that Kuranishi's approach
  yields a finite dimensional Lie n-stack parametrizing deformations of a c
 omplex of holomorphic vector bundles on a compact complex manifold of leng
 th n. This is joint work with Kai Behrend.\n
LOCATION:Seminar Room 1\, Newton Institute
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