| 1 | A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmüller group 2013-05-13 |
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| 2 | Finite multiple zeta values 2013-05-13 |
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| 3 | From modular forms to finite groups 2013-04-19 |
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| 4 | Grothendieck-Teichmuller Groups in the Combinatorial Anabelian Geometry 2013-04-15 |
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| 5 | Elliptic Grothendieck-Teichmueller theory 2013-04-15 |
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| 6 | Polylogarithms, Multiple Zeta Values and Superstring Amplitudes 2013-04-12 |
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| 7 | Proof of the zig-zag conjecture 2013-04-12 |
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| 8 | Motivic Superstring Amplitudes 2013-04-12 |
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| 9 | Anatomy of the motivic Lie algebra 2013-04-12 |
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| 10 | Periods of modular forms and relations in the fundamental Lie algebra of Universal Mixed Elliptic Motives 2013-04-12 |
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Grothendieck-Teichmüller Groups, Deformation and Operads
http://rss.sms.cam.ac.uk/rss/collection/1387512?feedType=itunes
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/
