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Formality of the operad of little disks and quantization of Lie bialgebras


Speaker: Dr. Dmitry Tamarkin, Harvard University
Location: 693 Kerr
Start time: Wed, Jan 30 2002, 4:10PM

We will explain that the formality of the chain operad of little disks implies (a more or less direct) procedure of quantization of Lie bialgebras, ( in other words, another proof of the Etingof-Kazhdan theorem.) We will also discuss how this procedure depends on a choice of the formality (homotopically nonequivalent formalities produce non-isomorphic quantizations), which implies that the action of the Grothendieck-Teichmueller group on our quantizations is free.