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SUMMARY:Strong homotopy (bi)algebras\, homotopy coherent diagrams and deri
 ved deformations - Pridham\, JP (University of Cambridge)
DTSTART:20130404T140000Z
DTEND:20130404T150000Z
UID:TALK44347@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Spaces of homotopy coherent diagrams or of strong homotopy (s.
 h.) algebras (for arbitrary monads) can be realised by right-deriving sets
  of diagrams or of algebras. This description involves a model category ge
 neralising Leinster's homotopy monoids. \n\nFor any monad on a simplicial 
 category\, s.h. algebras thus form a Segal space. A monad on a category of
  deformations then yields a derived deformation functor. There are similar
  statements for bialgebras\, giving derived deformations of schemes or of 
 Hopf algebras. \n
LOCATION:Seminar Room 1\, Newton Institute
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