Cartier modules and cyclotomic spectra

@article{Antieau2018CartierMA,
  title={Cartier modules and cyclotomic spectra},
  author={Benjamin Antieau and T. Nikolaus},
  journal={arXiv: Algebraic Topology},
  year={2018}
}
We construct and study a t-structure on p-typical cyclotomic spectra and explain how to recover crystalline cohomology of smooth schemes over perfect fields using this t-structure. Our main tool is a new approach to p-typical cyclotomic spectra via objects we call p-typical topological Cartier modules. Using these, we prove that the heart of the cyclotomic t-structure is the full subcategory of derived V-complete objects in the abelian category of p-typical Cartier modules. 
11 Citations
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