TL;DR
This paper provides an elementary description of formal periods of mixed motives, simplifying the period conjectures and developing a framework for explicit determination of these periods.
Contribution
It introduces a simplified reformulation of period conjectures and a machinery to explicitly compute formal periods for any mixed motive.
Findings
Simplified reformulation of Grothendieck and Kontsevich-Zagier period conjectures
Development of a machinery for explicit computation of formal periods
Elementary description of the space of formal periods
Abstract
We give an elementary description of the space of formal periods of a mixed motive. This allows for a simplified reformulation of the period conjectures of Grothendieck and Kontsevich-Zagier. Furthermore, we develop a machinery which in principle allows to determine the space of formal periods for an arbitrary mixed motive explicitly.
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Taxonomy
TopicsHistory and Theory of Mathematics · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology