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arXiv · 2303.09537

Introduction to the Category of Derived Motivic Spectra

Renaud Gauthier
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Abstract

We formalize an abstraction of Grothendieck's philosophy of motives and construct a category of derived motivic spectra in the Segal category $\mathbb{R} \underline{\text{Hom}} ((\text{dSt}_k)^{\text{op}}_{/F}, \text{Top})$ ($\text{dSt}_k$ the Segal category of derived stacks on s$k$-Alg, Top = $L \text{Set}_{\Delta}$ the Segal category of simplicial sets), thereby providing a starting point for a construction of a stable motivic homotopy category in the Segal setting.

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Renaud Gauthier. 2023-03-16. Introduction to the Category of Derived Motivic Spectra. https://arxiv.org/abs/2303.09537

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