Multiple logarithms, algebraic cycles and trees

Abstract

This is a short exposition--mostly by way of the toy models ``double logarithm'' and ``triple logarithm''--which should serve as an introduction to a forthcoming article in which we establish a connection between multiple polylogarithms, polygons, trees and algebraic cycles.

15 pages, 8 figures, accepted June 2004 for publication in the book "Frontiers in Number Theory, Physics and Geometry", Volume 2 (Cartier, Julia, Moussa, Vanhove, eds.)