Periods and Nori Motives

Part I. Background Material

1. General Set-Up
Annette Huber, Stefan Müller-Stach

2. Singular Cohomology
Annette Huber, Stefan Müller-Stach

3. Algebraic de Rham Cohomology
Annette Huber, Stefan Müller-Stach

4. Holomorphic de Rham Cohomology
Annette Huber, Stefan Müller-Stach

5. The Period Isomorphism
Annette Huber, Stefan Müller-Stach

6. Categories of (Mixed) Motives
Annette Huber, Stefan Müller-Stach

Part II. Nori Motives

7. Nori’s Diagram Category
Annette Huber, Stefan Müller-Stach

8. More on Diagrams
Annette Huber, Stefan Müller-Stach

9. Nori Motives
Annette Huber, Stefan Müller-Stach

10. Weights and Pure Nori Motives
Annette Huber, Stefan Müller-Stach

Part III. Periods

11. Periods of Varieties
Annette Huber, Stefan Müller-Stach

12. Kontsevich–Zagier Periods
Annette Huber, Stefan Müller-Stach

13. Formal Periods and the Period Conjecture
Annette Huber, Stefan Müller-Stach

Part IV. Examples

14. Elementary Examples
Annette Huber, Stefan Müller-Stach

15. Multiple Zeta Values
Annette Huber, Stefan Müller-Stach

16. Miscellaneous Periods: An Outlook
Annette Huber, Stefan Müller-Stach

Keywords: Mathematics, Number Theory, Algebraic Geometry, K-Theory, Algebraic Topology, Category Theory, Homological Algebra, Associative Rings and Algebras