Higher Algebra by Jacob Lurie
Higher Algebra - Table of Contents
- 1. Stable ∞-Categories
- 2. ∞-Operads
- 3. Algebras and Modules over ∞-Operads
- 4. Associative Algebras and Their Modules
- 5. Little Cubes and Factorizable Sheaves
- 6. The Calculus of Functors
- 7. Algebra in the Stable Homotopy Category
- A. Constructible Sheaves and Exit Paths
- B. Categorical Patterns
What You Will Learn in Higher Algebra
Higher Algebra by Jacob Lurie is a foundational text in modern abstract mathematics and homotopy theory. Downloading this jacob lurie higher algebra pdf gives researchers and graduate students access to the categorical formulation of commutative algebra in the 8-categorical setting.
The monograph systematically develops structured ring spectra, 8-operads, module categories, and deformation theory. Studying this lurie higher algebra pdf allows mathematicians to master the algebraic structures that underpin contemporary derived algebraic geometry and algebraic K-theory.
Designed as an essential higher algebra lurie reference, this text establishes modern framework tools for advanced research in topology and arithmetic geometry.
Book Details & Specifications
Title:
Higher Algebra by Jacob Lurie
Publisher:
Harvard University
Year:
2017
Pages:
1553
Type:
PDF
Language:
English
ISBN-10 #:
1402179650
ISBN-13 #:
978-1402179655
License:
External Educational Resource
Amazon:
Amazon
About the Author: Jacob Lurie
The author Jacob Lurie
is a MacArthur Fellow and Professor of Mathematics at the Institute for Advanced Study (IAS) in Princeton, New Jersey.
As the author of Higher Algebra by Jacob Lurie and Higher Topos Theory, he is internationally recognized for revolutionizing higher category theory and pioneering the field of derived algebraic geometry.
Read or Downloadable Higher Algebra
Higher Algebra