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On p-Adic periods for mixed tate motives over a number field

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Chatzistamatiou, Andre

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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 given by the inverse of the Bloch-Kato exponential map.

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Int Press Boston, Inc

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Mathematics

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Mathematical Research Letters

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10.4310/MRL.2013.v20.n5.a2

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