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Formal Periods and the Period Conjecture

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Periods and Nori Motives

Abstract

Following Kontsevich (see Kontsevich in Operads and motives in deformation quantization. Lett. Math. Phys. 48(1):35–72, 1999), we now introduce another algebra \(\tilde{\mathbb {P}}(k)\) of formal periods from the same data we have used in order to define the actual period algebra of a field in Chap. 11. The main aim of this chapter is to give conceptual interpretation of this algebra of formal periods. We then use it to formulate and discuss the period conjecture.

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Correspondence to Annette Huber .

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Huber, A., Müller-Stach, S. (2017). Formal Periods and the Period Conjecture. In: Periods and Nori Motives. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 65. Springer, Cham. https://doi.org/10.1007/978-3-319-50926-6_13

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