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Thursday 04 April 2013, 15:00-16:00
Strong homotopy (bi)algebras, homotopy coherent diagrams and derived deformations
â ī¸ Important: Grothendieck-Teichmller Groups, Deformation and Operads
- đ¤ Speaker: Pridham, JP (University of Cambridge)
- đ Date & Time: Thursday 04 April 2013, 15:00 - 16:00
- đ Venue: Seminar Room 1, Newton Institute
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Mustapha Amrani
Abstract
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 generalising Leinster’s homotopy monoids.
For 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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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