Classifying perfect complexes of Mackey functors
Clover May (UCLA)
Date & time: Wednesday, 02 December 2020 at 2:00PM - 3:00PM
Abstract: Mackey functors were introduced by Dress and Green to encode operations that behave like restriction and induction in representation theory. They play a central role in equivariant homotopy theory, where homotopy groups are replaced by homotopy Mackey functors. In this talk I will discuss joint work with Dan Dugger and Christy Hazel classifying perfect chain complexes of Mackey functors for G=Z/2. Our classification leads to a computation of the Balmer spectrum of the derived category. It has topological consequences as well, classifying all modules over the equivariant Eilenberg--MacLane spectrum HZ/2.