Derived Algebraic Geometry III: Commutative Algebra

Abstract

This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.

188 pages. Modified 9/19/07: minor changes, added material on the Day convolution product. 5/4/09: Almost completely rewritten, using a higher categorical language of colored operads

References in corpus (2)

• Algebras and modules in monoidal model categories
• Derived Algebraic Geometry IV: Deformation Theory

Cited by in corpus (36)

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• Mixed Weil cohomologies
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• Arakelov motivic cohomology I
• Higher Hochschild cohomology, Brane topology and centralizers of $E_n$-algebra maps
• Derived Algebraic Geometry IV: Deformation Theory
• Ribbon Graphs and Mirror Symmetry I
• Tannaka duality and stable infinity-categories
• Character sheaves on unipotent groups in positive characteristic: foundations
• Derived Higher Hochschild Homology, Topological Chiral Homology and Factorization algebras
• Periodizable motivic ring spectra
• Algebraic Theories and (Infinity,1)-Categories
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• Unital operads, monoids, monads, and bar constructions
• On autoequivalences of the (\infty, 1)-category of \infty-operads
• From Operads to Dendroidal Sets
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• Noncommutative Geometry in the Framework of Differential Graded Categories
• Exponentiable Grothendieck categories in flat Algebraic Geometry
• 2-Modules and the Representation of 2-Rings
• Monoidal Infinity Category of Complexes from Tannakian Viewpoint
• A Whirlwind Tour of the World of $(\infty ,1)$-categories
• Another viewpoint on J-spaces
• Adjoint associativity: an invitation to algebra in infinity-categories
• Local study of stable module categories via tensor triangulated geometry
• Langlands correspondence and Bezrukavnikov's equivalence