TY - ELEC
AU - Shah, Jay
PY - 2018
TI - The genuine stabilization of a $G$-topos
LA - eng
M3 - Moving Image
AB - 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.
This is a preliminary report on joint work with Elden Elmanto.
N2 - 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.
This is a preliminary report on joint work with Elden Elmanto.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377429
ER - End of Reference