Geometry and topology · Oct 6, 2026

The Hovey–Strickland and Chai conjectures

Proves Chai's invariant-ideal conjecture for Lubin–Tate deformation rings over finite residue fields, at every prime and positive height n. Through the implication of Barthel–Heard–Naumann, this proves the Hovey–Strickland conjecture: dualizable K(n)K(n)-local spectra have exactly n+2n+2 thick tensor ideals, and their Balmer spectrum is a chain of n+1n+1 points.

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