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Derived Algebraic Geometry
An Elemental Approach
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Renaud Gauthier
Language:
English
Published/Copyright:
2024
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.
- Presents a concise treatment of derived algebraic geometry.
- Covers the the construction of a mathematical model of physical phenomena.
- Describes clear connections between algebra and geometry and topics in physics and mathematics.
Author / Editor information
Renaud Gauthier, University of Mary, USA.
Topics
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I |
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VII |
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IX |
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XV |
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Part I: Prerequisites
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3 |
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12 |
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16 |
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27 |
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Part II: Derived algebraic geometry
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51 |
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53 |
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58 |
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64 |
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69 |
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Part III: Spectral algebraic geometry
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75 |
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77 |
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81 |
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83 |
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85 |
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88 |
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97 |
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100 |
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Part IV: Applications
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107 |
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114 |
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117 |
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136 |
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160 |
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185 |
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201 |
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212 |
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224 |
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237 |
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267 |
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320 |
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349 |
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353 |
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359 |
Publishing information
Pages and Images/Illustrations in book
eBook published on:
January 29, 2024
eBook ISBN:
9783111334073
Hardcover published on:
January 29, 2024
Hardcover ISBN:
9783111333663
Edition:
2nd Edition
Pages and Images/Illustrations in book
Front matter:
22
Main content:
364
Audience(s) for this book
Researchers and graduate students studying algebra and algebraic geometry.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com