As you have heard from Clarence, the Hopf Archive is now a virtual server on the Purdue Math Department's server. This means there is no more ftp access to Hopf, only web access. Also, because of this changeover, my October message was a bit delayed. 3 new papers this month, from Blanc, Devinatz, and Kuhn. Mark Hovey New papers appearing on hopf between 9/2/04 and 10/15/04 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc/mod03 Moduli spaces of homotopy theory by David Blanc Dept. of Mathematics, Univ. of Haifa, 31905 Haifa, Israel E-mail address: blanc@math.haifa.ac.il The moduli spaces refered to are topological spaces whose path components parametrize homotopy types. Such objects have been studied in two separate contexts: rational homotopy types, in the work of several authors in the late 1970's; and general homotopy types, in the work of Dwyer-Kan and their collaborators. We here explain the two approaches, and show how they may be related to each other. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/Devinatz/homotopydev 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. 3. http://hopf.math.purdue.edu/cgi-bin/generate?/Kuhn/Kinosaki Title: Goodwillie towers and chromatic homotopy: an overview Author: Nicholas J. Kuhn Email:njk4x at virginia.edu Address: University of Virginia, Charlottesville, VA 22904 arXive no: math.AT/0410342 Abstract: This paper is based on talks I gave in Nagoya and Kinosaki in August of 2003. I survey, from my own perspective, Goodwillie's work on towers associated to continuous functors between topological model categories, and then include a discussion of applications to periodic homotopy as in my work and the work of Arone--Mahowald. ---------------