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RESEARCH PRODUCT
Formal Periods and the Period Conjecture
Annette HuberStefan Müller-stachsubject
Discrete mathematicsHodge conjectureConjectureInterpretation (logic)Order (ring theory)Field (mathematics)Transcendence degreeHodge structurePeriod (music)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |