Balmer Spectrum of Derived Mackey Functors

For a finite group G, Kaledin’s category of derived G-Mackey functors can be considered to be an algebraic analog of the G-equivariant stable homotopy category and it is much easier to handle than the derived category of G-Mackey functors. In this talk we will compute the Balmer spectrum  of the tensor triangulated category of derived G-Mackey functors for any finite group G. We will start by introducing Kaledin’s category. Then we will give several different descriptions of it in terms of stable infinity categories. Finally, we explain the computation of the Balmer spectrum. This is all joint with B. Sanders and C. Wimmer.