Towards higher dimensional analogues of the torsor of Drinfeld's associators
- đ¤ Speaker: Fresse, B (Universit Lille 1)
- đ Date & Time: Monday 08 April 2013, 13:30 - 14:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
The purpose of this talk is to give a description of the set of homotopy classes of formality quasi-isomorphisms for a Sullivan model of the Little n-discs operads, where we consider any n>1.
The Sullivan model of a topological operad combines a commutative dg-algebra structure, reflecting the rational homotopy of the spaces underlying the operad, and a cooperad structure, reflecting the composition structures of the operad. I will explain the definition of an obstruction spectral sequence for the formality of these Sullivan models of operads.
I will give a description of the obstruction spectral sequence associated to the little discs operads, and I will explain the connection with the definition of the Drinfeld associators.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Monday 08 April 2013, 13:30-14:30