Dedekind zeta motives for totally real number fields
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SFB-Kolloquium
Francis Brown (Paris)
| What |
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| When |
Nov 13, 2008 from 03:00 pm to 04:00 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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Abstract: Let \(k\) be a totally real number field. For every odd integer \(n\geq 3\), I will construct a mixed Tate motive whose period is related to \(\zeta_k(n)\), the value of the Dedekind zeta function of \(k\). The construction is geometric and involves the action of an arithmetic subgroup of the orthogonal group on products of hyperbolic spaces. A corollary is a motivic calculation of the regulator modulo rationals, which is analogous to a famous theorem due to Borel.
