On $p$-adic periods for mixed Tate motives over a number field
On $p$-adic periods for mixed Tate motives over a number field
For a number field, we have a Tannaka category of mixed Tate motives at our disposal.We construct p-adic points of the associated Tannaka group by using p-adic Hodge theory.Extensions of two Tate objects yield functions on the Tannaka group, and we show that evaluation at our p-adic points is essentially …