Torsion Models for Tensor-Triangulated Categories

In this talk I will describe how to construct a model for suitably nice tensor-triangulated categories from the data of local and torsion objects. The idea is to use a variation on the Hasse-Tate square, and mimic constructions such as local cohomology and localization from commutative algebra in this more general context. I will then discuss some examples, the main example being the construction of an algebraic torsion model for rational SO(2)-equivariant spectra. This is joint work with S. Balchin, J.P.C. Greenlees and L. Pol.