Synthetic spectra and the cellular motivic category

2022/12/20 by Piotr Pstrągowski · 4 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · doi:10.1007/s00222-022-01173-2

Citations

• Nilpotence and descent in equivariant stable homotopy theory
• Local duality in algebra and topology
• The special fiber of the motivic deformation of the stable homotopy category is algebraic

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• An extension in the Adams spectral sequence in dimension 54
• Real isotropic motivic spectra
• Revisiting the β₁-action on the 3-primary stable homotopy groups of spheres
• Slice spectral sequences through synthetic spectra
• The weight filtration on real singular homology is motivic
• Nilpotence in normed MGL-modules
• Controlled objects in left-exact ∞-categories and the Novikov conjecture