Galois theory of periods
Abstract
In this mostly expository note we explain how Nori's theory of motives achieves the aim of establishing a Galois theory of periods, at least under the period conjecture. We explain and compare different notions periods, different versions of the period conjecture and view the evidence by explaining the examples of Artin motive, mixed Tate motives and 1-motives.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- arXiv:
- arXiv:1811.06268
- Bibcode:
- 2018arXiv181106268H
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry