Mini-workshop: 1-motives. Abstracts from the mini-workshop held December 12th -- December 18th. (Q408469)

Summary: One-motives were introduced by Deligne in 1974, as a generalization of the theory of semiabelian varieties. Viewed today, after Voevodsky's theory of mixed motives, it can be understood as motives of level \(\leq 1\). 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.