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Periods and Nori Motives Vital Source e-bog
Annette Huber og Stefan Müller-Stach
(2017)
Periods and Nori Motives Vital Source e-bog
Annette Huber og Stefan Müller-Stach
(2017)
Periods and Nori Motives
Annette Huber, Stefan Müller-Stach, Benjamin Friedrich og Jonas von Wangenheim
(2017)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Marts 2017)
- Forfattere: Annette Huber og Stefan Müller-Stach
- ISBN: 9783319509266
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Vital Source 365 day rentals (fixed pages)
- Udgiver: Springer Nature (Marts 2017)
- Forfattere: Annette Huber og Stefan Müller-Stach
- ISBN: 9783319509266R365
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: 5 år fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (Marts 2017)
- Forfattere: Annette Huber, Stefan Müller-Stach, Benjamin Friedrich og Jonas von Wangenheim
- ISBN: 9783319509259
Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori's unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting.
Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.
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.