Morava K-theory of orthogonal groups and motives of projective quadrics.
2020
For a generic quadric $Q$ we consider the category of Morava K-theory motives, and determine the indecomposable summands of the $\mathrm K(n)$-motive of $Q$. We also prove that the Morava K-theory of a group variety $\mathrm{SO}_m$ stabilizes for large $m$.
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