Topology Seminar
Real Orientations of Lubin-Tate Spectra
Danny Shi, Harvard
Wednesday, October 25th, 2017
3:40 PM - 4:40 PM
Hylan 1106A
3:40 PM - 4:40 PM
Hylan 1106A
We show that Lubin-Tate spectra at the prime \(2\) are Real oriented and Real Landweber exact. The proof is an application of the Goerss–Hopkins–Miller theorem to algebras with involution. For each height \(n\), we compute the entire homotopy fixed point spectral sequence for \(E_n\) with its \(C_2\)-action by the formal inverse. We study, as the height varies, the Hurewicz images of the stable homotopy groups of spheres in the homotopy of these \(C_2\)-fixed points.
There will also be a pretalk in Hylan 1106A at 2:10.
Event contact: carl dot mctague at rochester dot edu
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