中科院数学与系统科学研究院

数学研究所

学术报告

拓扑研讨班

报告人：Prof. Igor Kriz（University of Michigan）

题  目：On the equivariant pushforward of non-equivariant homology

时  间：2024.07.08（星期一）11:00-12:00

地  点：数学院南楼N602

摘  要：Guillou and May gave a model of G-equivariant spectra as spectral homotopy analogues of Mackey functors. If one applies this construction to HZ-modules, one gets modules over the commutative G-spectral ring given by the equivariant pushforward of HZ. This, however, is not a G-equivariant generalized Eilenberg-Mac Lane spectrum in the ordinary sense. In this talk, we will explore this phenomenon, propose its explanation, and also discuss how the derived category of modules over the pushforward can be modeled in terms of more familiar pieces, and calculated with. My talk will reflect on discussions with several people, and on some concrete joint work in progress with Bar Roytman.