Oberwolfach Reports

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Volume 7, Issue 4, 2010, pp. 3237–3267
DOI: 10.4171/OWR/2010/55

Published online: 2011-05-21

Mini-Workshop: 1-Motives

Luca Barbieri-Viale[1], Hélène Esnault[2] and David Harari[3]

(1) Università di Milano, Italy
(2) FU Berlin, Germany
(3) Université Paris-Sud, Orsay, France

One-motives were introduced by Deligne in 1974 [10], as a generalization of the theory of semiabelian varieties. Viewed today, after Voevodsky’s theory of mixed motives [31], it can be understood as motives of level ≤ 1. While Voevosdky’s more general theory of mixed motives contains deep conjectures which at present seem to be out of reach, one-motives are much more accessible. In this mini-workshop, recent progresses were discussed: various aspects of one-motives and their realizations were explained, some applications in arithmetic algebraic geometry were given.

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Barbieri-Viale Luca, Esnault Hélène, Harari David: Mini-Workshop: 1-Motives. Oberwolfach Rep. 7 (2010), 3237-3267. doi: 10.4171/OWR/2010/55