Geometry of multiple zeta values

Autores: Tomohide Terasoma
Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 627-636
Idioma: inglés
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Resumen
- Many relations are known between multiple zeta values æ(k1, . . . , kn). A relation coming from the associator condition for the Drinfeld associator, the generating function of multiple zeta values, is a geometric relation. By the theory of mixed motives, we can control the dimension of the rational linear hull of multiple zeta values. The harmonic shuffle relation also comes from geometry, and more strongly, this is implied by the associator relation.