A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmüller group
Released Monday, 13th May 2013
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A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmüller group
A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmüller group
Monday, 13th May 2013
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Grothendieck-Teichmüller Groups, Deformation and Operads
Grothendieck-Teichmüller theory goes back to A. Grothendieck's celebrated Esquisse d'un programme. In 1991, V. Drinfel'd formally introduced two Grothendieck-Teichmüller groups, the former one related to the absolute Galois group and the latter one related to the deformation theory of a certain algebraic structure (braided quasi-Hopf algebra). Introduced in algebraic topology 40 years ago, the notion of operad has enjoyed a renaissance in the 90's under the work of M. Kontsevich in deformation theory. Two proofs of the deformation quantization of Poisson manifolds, one by himself as well as one by D. Tamarkin, led M. Kontsevich to conjecture an action of a Grothendieck-Teichmüller group on such deformation quantizations, thereby drawing a precise relationship between the two themes.Read more at: http://www.newton.ac.uk/programmes/GDO/Join Podchaser to...
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