Grothendieck-Teichmüller groups, graph complexes and deformation quantization

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/

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/

Share Grothendieck-Teichmüller groups, graph complexes and deformation quantization

Sign up to save your podcasts

Grothendieck-Teichmüller groups, graph complexes and deformation quantization

Grothendieck-Teichmüller groups, graph complexes and deformation quantization

More shows like Grothendieck-Teichmüller Groups, Deformation and Operads

Philosophy

Mathematics and Physics of the Holographic Principle

Mathematics and Physics of Anderson Localization: 50 Years After

Analysis on Graphs and its Applications

Faculty of Classics

Wolfson College Humanities Society

LCIL International Law Centre Podcast

Medieval History Seminars

Darwin – Darwin College Lecture Series 2009

The State of the Universe - Stephen Hawking 70th Birthday Symposium