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Four groups related to associators

2011/08/17 by Furusho, Hidekazu · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #General Topology (math.GN) #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1108.3389

Abstract

This is a report on associators which is based on my talk at the Mathematische Arbeitstagung in Bonn, June 2011. I first recall Drinfeld's definition of associators and explain my (and its related) results in arXiv:math/0702128 and arXiv:0808.0319. Then I explain recent developments on the four pro-unipotent algebraic groups related to associators; the motivic Galois group, the Grothendieck-Teichmuller group, the double shuffle group and the Kashiwara-Vergne group.

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