Motivic periods and the projective line minus three points

Abstract

This is a review of the theory of the motivic fundamental group of the projective line minus three points, and its relation to multiple zeta values.

Proceedings of the ICM 2014

References in corpus (3)

• Multiple polylogarithms and mixed Tate motives
• Four groups related to associators
• Brown-Zagier Relation for Associators

Cited by in corpus (10)

• Elliptic multiple zeta values and one-loop superstring amplitudes
• Numbers and Functions in Quantum Field Theory
• Zeta elements in depth 3 and the fundamental Lie algebra of a punctured elliptic curve
• Multiple period integrals and cohomology
• Unramified Euler sums and Hoffman $\star$ basis
• Anatomy of an associator
• Integral points on curves, the unit equation, and motivic periods
• Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
• On triple zeta values of even weight and their connections with period polynomials
• Kontsevich's deformation quantization: from Dirac to multiple zeta values