We discuss the following two problems: 1) The properties of the multiple zeta-values and their generalizations, multiple polylogarithms at N-th roots of unity; 2) The action of the absolute Galois group on the pro-l-completion of the fundamental group of the projective line without zero, infinity, and all N-th roots of unity; and a surprising connection of these problems with the geometry and topology of modular varieties for GL_m.
CITATION STYLE
Goncharov, A. B. (2001). Multiple ζ-Values, Galois Groups, and Geometry of Modular Varieties. In European Congress of Mathematics (pp. 361–392). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8268-2_21
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