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May 25, 2019 at 9:32 comment added François Brunault There is a nice survey of Deninger "On extensions of mixed motives" (Collectanea Mathematica) where he explains the conjectural properties of mixed motives (in particular the Deligne periods you mention).
May 24, 2019 at 18:36 history answered Daniil Rudenko CC BY-SA 4.0