Algebraic K-Theory Seminar
Jay Shah
Notre Dame
The genuine stabilization of a G-topos
Abstract: Let G be a finite group and X a topos with homotopy coherent G-action. From this, we construct a stable homotopy theory Sp^G(X) which recovers and extends the theory of genuine G-spectra. We explain what our construction yields when:
(i) X is the topos of sheaves on a topological space with G-action
(ii) X is the etale C_2-topos of a scheme S adjoined a square root of -1.
We conclude with an application to realization functors out of the stable motivic homotopy category of a scheme. This is joint work with Elden Elmanto.
Wednesday October 31, 2018 at 3:00 PM in 1227 SEO