Compact derived VI-modules are classified by their support types, and the Balmer spectrum for families of bounded-rank abelian p-groups is computed explicitly.
Global homotopy theory via spectral Mackey functors
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abstract
We show that Hausmann's model of global stable homotopy theory in terms of symmetric spectra is equivalent to the $\infty$-category of spectral Mackey functors in the sense of Barwick on a certain global effective Burnside category. We moreover provide an analogous description of Schwede's ultra-commutative monoids as space-valued global Mackey functors.
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The spectrum of global representations for families of bounded rank and VI-modules
Compact derived VI-modules are classified by their support types, and the Balmer spectrum for families of bounded-rank abelian p-groups is computed explicitly.