Department of Mathematics2024-11-0920131073-278010.4310/MRL.2013.v20.n5.a22-s2.0-84899795469http://dx.doi.org/10.4310/MRL.2013.v20.n5.a2https://hdl.handle.net/20.500.14288/10591For 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 given by the inverse of the Bloch-Kato exponential map.MathematicsJournal Article1945-001X342635000002Q38903