- 386 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner. It discusses Motives, Goodwillie Calculus, Higher Galois, Supersymmetry, and topics in physical mathematics. A new chapter on Derived Motivic Spectrais now included as is an extended introduction to Infinity Category as well as a revised chapter on Stacks.
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Yes, you can access Derived Algebraic Geometry by Renaud Gauthier in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Preface to the second edition
- Introduction
- Contents
- Part I: Prerequisites
- 1 Schemes
- 2 Simplicial sets
- 3 ∞-categories
- 4 Model categories
- Part II: Derived algebraic geometry
- 5 Introduction
- 6 Stacks on simplicial sites
- 7 Stacks on model sites
- 8 Stacks on Segal sites
- 9 Application: étale derived stacks
- Part III: Spectral algebraic geometry
- 10 Introduction
- 11 ∞-operads
- 12 Spectra
- 13 E∞-ring spectra
- 14 Spectral Deligne–Mumford stacks
- 15 Spectral Artin representability
- 16 Representation theory of formal moduli problems
- 17 Relations between quasi-coherent sheaves
- Part IV: Applications
- 18 A dual representation in spectral algebraic geometry
- 19 A Connection SAG-DAG
- 20 Motifs in DAG
- 21 Introduction to a category of derived motivic spectra
- 22 Goodwillie calculus and geometric stacks
- 23 Spectral “schematization” of homotopy types
- 24 Higher Galois for Segal topos
- 25 Infinity-topoi and natural phenomena: generation
- 26 Segal topoi and the universality of physical laws
- 27 Internal Bousfield localizations
- 28 Supersymmetric derived stacks
- 29 Taking stock – Physical Mathematics
- Bibliography
- Index
- Notations