Hovey-Strickland Conjecture

The Hovey-Strickland conjecture classifies thick tensor ideals of the tensor triangulated category of dualizable -local spectra at a fixed prime and height . Dualizability requires evaluation and coevaluation maps satisfying the tensor-duality identities. It is different from compactness in this local category. The proposed thick tensor ideals form a chain determined by chromatic support.