Hopkins's equivariant presentation conjecture for the Morava -theory homotopy groups
Hopkins's equivariant presentation conjecture for the Morava -theory homotopy groups
Let be a finite subgroup. Let be placed in degree , let denote the graded symmetric algebra, let be a trivial representation corresponding to the multiplicative norm over the group on , and let be an ideal in degree . Hopkins's conjecture. There is a -equivariant isomorphism
This conjectural presentation is intended to make the action of finite subgroups on easier to describe and compute, supporting calculations involving the homotopy fixed-point and Tate spectra of higher real -theories. The source presents it as Hopkins's conjecture, and no resolution is given here.
Sources & referencesView supporting material
Primary source
Drew Heard, “The Tate spectrum of the higher real K-theories at height n=p-1”, arXiv:1501.07759 (2015).
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