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arXiv · 2111.06379

Morava K-theory and Filtrations by Powers

Tobias Barthel·Piotr Pstrągowski
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Abstract

We prove the convergence of the Adams spectral sequence based on Morava K-theory and relate it to the filtration by powers of the maximal ideal in the Lubin-Tate ring through a Miller square. We use the filtration by powers to construct a spectral sequence relating the homology of the K-local sphere to derived functors of completion and express the latter as cohomology of the Morava stabilizer group. As an application, we compute the zeroth limit at all primes and heights.

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Tobias Barthel, Piotr Pstrągowski. 2021-11-11. Morava K-theory and Filtrations by Powers. https://doi.org/10.1017/s1474748023000233

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