Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 On the Stack of 0-Dimensional Coherent Sheaves: Structural Aspects
- 2 Three Lectures on Quadratic Enumerative Geometry
- 3 Flat Torsors in Complex Geometry
- 4 Universal Chern Classes on the Moduli of Bundles
- 5 Linear Stability of Coherent Systems and Applications to Butler’s Conjecture
- 6 A Kobayashi–Hitchin Correspondence for General Coherent Systems
- 7 On the Injectivity and Non-injectivity of the l-Adic Cycle Class Maps
- 8 A Primer on Zeta Functions and Decomposition Spaces
- 9 Atiyah–Bott Localization in Equivariant Witt Cohomology
- 10 Base Loci, Semiampleness, and Parallelizable Manifolds
- 11 Recent Developments on Compactifications of Stacks of Shtukas
- 12 A Common Generalisation of the André–Oort and André–Pink–Zannier Conjectures
- References
8 - A Primer on Zeta Functions and Decomposition Spaces
Published online by Cambridge University Press: 31 October 2025
Book contents
- Frontmatter
- Contents
- Contributors
- Preface
- 1 On the Stack of 0-Dimensional Coherent Sheaves: Structural Aspects
- 2 Three Lectures on Quadratic Enumerative Geometry
- 3 Flat Torsors in Complex Geometry
- 4 Universal Chern Classes on the Moduli of Bundles
- 5 Linear Stability of Coherent Systems and Applications to Butler’s Conjecture
- 6 A Kobayashi–Hitchin Correspondence for General Coherent Systems
- 7 On the Injectivity and Non-injectivity of the l-Adic Cycle Class Maps
- 8 A Primer on Zeta Functions and Decomposition Spaces
- 9 Atiyah–Bott Localization in Equivariant Witt Cohomology
- 10 Base Loci, Semiampleness, and Parallelizable Manifolds
- 11 Recent Developments on Compactifications of Stacks of Shtukas
- 12 A Common Generalisation of the André–Oort and André–Pink–Zannier Conjectures
- References
Summary
Many examples of zeta functions in number theory, combinatorics and algebraic geometry are special cases of a construction in homotopy theory known as a decomposition space. This article aims to introduce readers to the relevant concepts in homotopy theory and lays some foundations for future applications of decomposition spaces in the theory of zeta and L-functions.
Information
- Type
- Chapter
- Information
- Moduli, Motives and BundlesNew Trends in Algebraic Geometry, pp. 233 - 264Publisher: Cambridge University PressPrint publication year: 2025
References
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