Derived Algebraic Geometry III: Commutative Algebra
Jacob Lurie
TL;DR
This paper develops a higher-categorical framework for colored operads and applies it to the study of commutative ring spectra, advancing the theoretical understanding of derived algebraic geometry.
Contribution
It introduces a higher-categorical approach to colored operads and demonstrates its application to commutative ring spectra in derived algebraic geometry.
Findings
Higher-categorical theory of colored operads established
Applications to commutative ring spectra demonstrated
Advances in derived algebraic geometry methods
Abstract
This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology