Title: Homotopy groups of homotopy fixed point spectra associated
to E_n
Author: Ethan Devinatz
e-mail: devinatz@math.washington.edu
Abstract: We compute the mod(p) homotopy groups of the continuous homotopy
H_2 fixed points of E_2 for p>2, where E_n is the Landweber exact spectrum
whose coefficient ring is the ring of functions on the Lubin-Tate moduli
space of lifts of height n formal group laws, and H_n is the semi-direct
product of the group of diagonal matrices in the nth Morava stabilizer
group with an appropriate Galois group. We examine some consequences
of this related to Brown-Comenetz duality and to finiteness properties
of homotopy groups of K(n)_*-local spectra. We also indicate a plan
for generalizing this computation to n>2.