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math.CT2012
A Quillen model for classical Morita theory and a tensor categorification of the Brauer group
Ivo Dell'Ambrogio, Gonçalo Tabuada
Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory.…
math.CT2012
Even more spectra: tensor triangular comparison maps via graded commutative 2-rings
Ivo Dell'Ambrogio, Greg Stevenson
We initiate the theory of graded commutative 2-rings, a categorification of graded commutative rings. The goal is to provide a systematic generalization of Paul Balmer's comparison…