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SYMMETRIC OPERADS IN ABSTRACT SYMMETRIC SPECTRA

Pavlov, Dmitri ; Scholbach, Jakob



Abstract

This paper sets up the foundations for derived algebraic geometry, Goerss-Hopkins obstruction theory, and the construction of commutative ring spectra in the abstract setting of operadic algebras in symmetric spectra in an (essentially) arbitrary model category. We show that one can do derived algebraic geometry a la Toen-Vezzosi in an abstract category of spectra. We also answer in the ...

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