Topology Seminar: Danny Shi

We show that Lubin--Tate spectra at the prime 2 are Real oriented and Real Landweber exact.  The proof is by 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 given 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.