Multiple zeta-values, Galois groups, and geometry of modular varieties
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0005069,
title = {Multiple zeta-values, Galois groups, and geometry of modular varieties},
author = {A. B. Goncharov},
journal= {arXiv preprint arXiv:math/0005069},
year = {2007}
}
Comments
24 pages, 8 pictures, talk at the European Congress of Math., 2000