Seminário de Álgebra 

19/06/2008, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Pedro Ferreira dos Santos, IST, CAMGSD

A model for equivariant Eilenberg-Mac Lane spectra

Given a ring $A$ there is a geometric construction of the space that classifies the cohomology functor $H^n(-;A)$; it is just the the free $A$-module $S^n\otimes A$ generated by the space $S^n$. For spaces with an action of finite group $G$, the role of cohomology with coefficients in a ring is played by equivariant cohomology with coefficients in an appropriate algebraic object $M$ -- called a Mackey functor. In this talk we will describe a geometric construction for the classifying spaces of equivariant cohomology with coefficients in a Mackey functor $M$. This is joint work with Zhaohu Nie.