Strong homotopy (bi)algebras, homotopy coherent diagrams and derived deformations
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About this item
| Description: |
Pridham, JP (University of Cambridge)
Thursday 04 April 2013, 15:00-16:00 |
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| Created: | 2013-04-09 09:40 |
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| Collection: | Grothendieck-Teichmüller Groups, Deformation and Operads |
| Publisher: | Isaac Newton Institute |
| Copyright: | Pridham, JP |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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. |
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