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Motivic periods and \(\mathbb{P}^1\setminus\{0,1,\infty\}\). (English) Zbl 1373.11064

Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 295-318 (2014).
Summary: 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.
For the entire collection see [Zbl 1314.00104].

MSC:

11M32 Multiple Dirichlet series and zeta functions and multizeta values
11G32 Arithmetic aspects of dessins d’enfants, Belyĭ theory
14C15 (Equivariant) Chow groups and rings; motives
14H57 Dessins d’enfants theory