# Topology Seminar

## Real Orientations of Lubin-Tate Spectra

Danny Shi, Harvard

Wednesday, October 25th, 2017
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