25th NRW Topology Meeting

Speaker: Drew Heard

Title: Picard groups of higher real K-theory spectra

Abstract:

For any finite subgroup G of the Morava stabilizer group of height n at a prime p, there is an associated ring spectrum EO = (E_n)^{hG} of homotopy fixed points of Morava E-theory E_n under its G-action. I will discuss joint work with Akhil Mathew and Vesna Stojansoka , in which we show that, when n=p-1, Pic(EO) is always cyclic, so that every invertible EO module is a suspension of EO.