Periods and Nori Motives

• Κύριοι συγγραφείς: Huber, Annette (Συγγραφέας), Müller-Stach, Stefan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 65
• Θέματα: Mathematics.; Algebraic geometry.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; K-theory.; Number theory.; Algebraic topology.; Number Theory.; Algebraic Geometry.; K-Theory.; Algebraic Topology.; Category Theory, Homological Algebra.; Associative Rings and Algebras.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to...

Πίνακας περιεχομένων:

• Part I Background Material
• General Set-Up
• Singular Cohomology
• Algebraic de Rham Cohomology
• Holomorphic de Rham Cohomology
• The Period Isomorphism
• Categories of (Mixed) Motives
• Part II Nori Motives
• Nori's Diagram Category
• More on Diagrams
• Nori Motives
• Weights and Pure Nori Motives
• Part III Periods
• Periods of Varieties
• Kontsevich–Zagier Periods
• Formal Periods and the Period Conjecture
• Part IV Examples
• Elementary Examples
• Multiple Zeta Values
• Miscellaneous Periods: an Outlook.