Non-commutative Two Dimensional Modular Symbol
| dc.creator | Horozov, Ivan | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:33:33Z | |
| dc.date.available | 2026-07-07T07:33:33Z | |
| dc.description | We define iteration over a two dimensional manifold as analog of iteration over a path defined by Chen. We give several applications. Some of them include constructions of non-abelian modular symbol for $SL(3,\Z)$ and for $SL_{2/K}$, where $K$ is a real quadratic field. We construct the latter as generating series of iterated integrals over a two-dimensional manifold of Hilbert modular forms. We give a motivic interpretation of this non-abelian modular symbol. Other applications give motivic interpretations of certain iterated completed Dedekind zeta functions. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611955 | |
| dc.identifier | http://arxiv.org/abs/math/0611955 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119494 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F67 | |
| dc.title | Non-commutative Two Dimensional Modular Symbol | |
| dc.type | text |