-------------------------------------------------------- 4 new papers this time, from Bailey, Chebolu-Minac, Nguyen-Schwartz-Tran, and Ostvaer. Mark Hovey New papers appearing on hopf between 11/20/08 and 3/9/09 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Bailey/bailey-bosmtmf Title: On the spectrum bo \wedge tmf Author(s): Scott M. Bailey AMS classification number: 55P10 (Primary) 55P42, 55Q51 (Secondary) Abstract: M. Mahowald in his work on bo-resolutions, constructed a bo-module splitting of the spectrum bo ^ bo into a wedge of summands related to integral Brown-Gitler spectra. In this paper, a similar splitting of bo ^ tmf is constructed. This splitting is then used to understand the bo_*-algebra structure of bo_* tmf and allows for a description of bo^* tmf. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/Chebolu-Minac/Auslander-Reiten Title: Auslander-Reiten sequences for homotopists and arithmeticians Authors: Sunil Chebolu, Jan Minac Comments: 16 pages, to appear in "Annales des sciences math'ematiques du Quebec" Abstract: We introduce Auslander-Reiten sequences for group algebras and give several recent applications. The first part of the paper is devoted to some fundamental problems in Tate cohomology which are motivated by homotopy theory. In the second part of the paper we interpret Auslander-Reiten sequences in the context of Galois theory and connect them to some important arithmetic objects. 3. http://hopf.math.purdue.edu/cgi-bin/generate?/Nguyen-Schwartz-Tran/nguyen-schwartz-tran Title: La fonction generatrice de Minc et une "conjecture de Segal" pour certains spectres de Thom Authors: Nguyen Dang Ho Hai, Lionel Schwartz, Tran Ngoc Nam Abstract On construit dans cet article une r'esolution injective minimale dans la cat'egorie U des modules instables sur l'alg`ebre de Steenrod modulo 2, de la cohomologie de certains spectres obtenus `a partir de l'espace de Thom du fibr'e, associ'e `a la repr'esentation r'eguli`ere r'eduite du groupe ab'elien 'el'ementaire (Z=2)n, au dessus de l'espace B(Z=2)n. Les termes de la r'esolution sont des produits tensoriels de modules de Brown-Gitler J(k) et de modules de Steinberg Ln introduits par S. Mitchell et S. Priddy. Ces modules sont injectifs d'apr`es J. Lannes et S. Zarati, de plus ils sont ind'ecomposables. L'existence de cette r'esolution avait 'et'e conjectur'ee par Jean Lannes et le deuxi`eme auteur. La principale indication soutenant cette conjecture 'etait un r'esultat combinatoire de G. Andrews : la somme altern'ee des s'eries de Poincar'e des modules consid'er'ees est nulle. Ce r'esultat a des cons'equences homotopiques et permet de d'emontrer pour ces spectres un r'esultat du type de la conjecture de Segal pour les classifiants des 2-groupes ab'eliens 'el'ementaires. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/Ostvaer/cstar Title: Homotopy theory of C*-algebras Author: Paul Arne Ostvaer MSC classes: 46L99; 55P99 Abstract: In this work we construct from ground up a homotopy theory of C*-algebras. This is achieved in parallel with the development of classical homotopy theory by first introducing an unstable model structure and second a stable model structure. The theory makes use of a full fledged import of homotopy theoretic techniques into the subject of C*-algebras. The spaces in C*-homotopy theory are certain hybrids of functors represented by C*-algebras and spaces studied in classical homotopy theory. In particular, we employ both the topological circle and the C*-algebra circle of complex-valued continuous functions on the real numbers which vanish at infinity. By using the inner workings of the theory, we may stabilize the spaces by forming spectra and bispectra with respect to either one of these circles or their tensor product. These stabilized spaces or spectra are the objects of study in stable C*-homotopy theory. The stable homotopy category of C*-algebras gives rise to invariants such as stable homotopy groups and bigraded cohomology and homology theories. We work out examples related to the emerging subject of noncommutative motives and zeta functions of C*-algebras. In addition, we employ homotopy theory to define a new type of K-theory of C*-algebras. ------------------ 5 new papers this time, from Blanc-Johnson-Turner, BrownR, Chebolu-Minac, Hovey-Lockridge, and Huber-Kings-Naumann Mark Hovey New papers appearing on hopf between 3/9/09 and 5/28/09 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc-Johnson-Turner/hoc19 Title: Higher Homotopy Operations and Cohomology Authors: David Blanc, Mark W. Johnson, and James M. Turner Comments: 28 pages, to appear in the Journal of K-theory Abstract: The question of whether a homotopy-commutative diagram is rectifiable can be addressed via a cohomological obstruction theory developed by Dwyer-Kan-Smith. In this paper, the authors study a general notion of pointed homotopy operations which generalize, for example, Toda brackets. These topologically defined operations are constructed as homotopy-commutative diagrams and it is shown that they may be may be identified, under mild assumptions, with (the last of) the Dwyer-Kan-Smith cohomological obstructions. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/BrownR/dbgpdnew09 TITLE: Double modules, double categories and groupoids, and a new homotopical double groupoid AUTHOR: Ronald Brown ABSTRACT: We give a rather general construction of double categories and so, under further conditions, double groupoids, from a structure we call a `double module'. We also give a homotopical construction of a double groupoid from a triad consisting of a space, two subspaces, and a set of base points, under a condition which also implies that this double groupoid contains two second relative homotopy groups. AUTHOR'S ADDRESS: School of Computer Science, Bangor University, Bangor, Gwynedd, LL57 1UT, UK web site: www.bangor.ac.uk/r.brown 3. http://hopf.math.purdue.edu/cgi-bin/generate?/Chebolu-Minac/BIRS-Survey Title: Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture Authors: Sunil K. Chebolu and Jan Minac Abstract: In this paper we concentrate on the relations between the structure of small Galois groups, arithmetic of fields, Bloch-Kato conjecture, and Galois groups of maximal pro-p-quotients of absolute Galois groups. Comments: To appear in the proceedings of the BIRS workshop "New Topological Contexts for Galois Theory and Algebraic Geometry" in Topology and Geometry monographs. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/Hovey-Lockridge/weak-dim-2 The ghost and weak dimensions of rings and ring spectra Mark Hovey and Keir Lockridge The primary object of this paper is to prove the conjecture of the authors from a previous paper, explaining how to recover the weak dimension of a ring from its derived category. In the process, we develop a theory of weak dimension, which we call ghost dimension, for the generalized rings, known as ring spectra, that arise in algebraic topology. 5. http://hopf.math.purdue.edu/cgi-bin/generate?/Huber-Kings-Naumann/Lazard-complements Title: Some complements to the Lazard isomorphism Authors: Annette Huber, Guido Kings and Niko Naumann Abstract: Lazard showed in his seminal work that for rational coefficients continuous group cohomology of $p$-adic Lie-groups is isomorphic to Lie-algebra cohomology. We refine this result in two directions: firstly we extend his isomorphism under certain conditions to integral coefficients and secondly, we show that for algebraic groups, his isomorphism can be realized by differentiating locally analytic cochains. ------------------- BABYL OPTIONS: -*- rmail -*- Version: 5 Labels: Note: This is the header of an rmail file. Note: If you are seeing it in rmail, Note: it means the file has no messages in it.  1, edited,, Mail-from: From dmd1@lehigh.edu Sat Jan 17 18:19:15 1998 Received: from nss4.cc.Lehigh.EDU (root@nss4.CC.Lehigh.EDU [128.180.1.13]) by mail.wesleyan.edu (8.8.6/8.7.3) with ESMTP id SAA10234 for ; Sat, 17 Jan 1998 18:20:52 -0500 (EST) Received: from ns4-1.CC.Lehigh.EDU (root@ns4-1.CC.Lehigh.EDU [128.180.1.42]) by nss4.cc.Lehigh.EDU (8.8.8/8.8.5) with ESMTP id SAA119110; Sat, 17 Jan 1998 18:23:02 -0500 Received: (from dmd1@localhost) by ns4-1.CC.Lehigh.EDU (8.8.5/8.8.5) id SAA39528; Sat, 17 Jan 1998 18:19:17 -0500 Message-Id: <199801172319.SAA39528@ns4-1.CC.Lehigh.EDU> Date: Sat, 17 Jan 1998 18:19:15 EST From: dmd1@lehigh.edu (DONALD M. DAVIS) X-Mailer: SENDM [Version 2.0.17] Subject: new Hopf listings To: Distribution.List@lehigh.edu (toplist) Content-Type: text X-UIDL: aacd4710beaa4a6483935a131ded8f1b Lines: 256 Xref: picard.math.wesleyan.edu davis:291 X-Gnus-Newsgroup: davis:291 Sun Jan 18 06:29:52 1998 *** EOOH *** Date: Sat, 17 Jan 1998 18:19:15 EST From: dmd1@lehigh.edu (DONALD M. DAVIS) Subject: new Hopf listings To: Distribution.List@lehigh.edu (toplist) Content-Type: text Xref: picard.math.wesleyan.edu davis:291 *** EOOH *** Date: Sat, 17 Jan 1998 18:19:15 EST From: dmd1@lehigh.edu (DONALD M. DAVIS) Subject: new Hopf listings To: Distribution.List@lehigh.edu (toplist) X-UIDL: aacd4710beaa4a6483935a131ded8f1b Xref: picard.math.wesleyan.edu davis:291 X-Gnus-Newsgroup: davis:291 Sun Jan 18 06:29:52 1998 5 new papers this time, from Blanc-Johnson-Turner, BrownR, Chebolu-Minac, Hovey-Lockridge, and Huber-Kings-Naumann Mark Hovey New papers appearing on hopf between 3/9/09 and 5/28/09 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc-Johnson-Turner/hoc19 Title: Higher Homotopy Operations and Cohomology Authors: David Blanc, Mark W. Johnson, and James M. Turner Comments: 28 pages, to appear in the Journal of K-theory Abstract: The question of whether a homotopy-commutative diagram is rectifiable can be addressed via a cohomological obstruction theory developed by Dwyer-Kan-Smith. In this paper, the authors study a general notion of pointed homotopy operations which generalize, for example, Toda brackets. These topologically defined operations are constructed as homotopy-commutative diagrams and it is shown that they may be may be identified, under mild assumptions, with (the last of) the Dwyer-Kan-Smith cohomological obstructions. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/BrownR/dbgpdnew09 TITLE: Double modules, double categories and groupoids, and a new homotopical double groupoid AUTHOR: Ronald Brown ABSTRACT: We give a rather general construction of double categories and so, under further conditions, double groupoids, from a structure we call a `double module'. We also give a homotopical construction of a double groupoid from a triad consisting of a space, two subspaces, and a set of base points, under a condition which also implies that this double groupoid contains two second relative homotopy groups. AUTHOR'S ADDRESS: School of Computer Science, Bangor University, Bangor, Gwynedd, LL57 1UT, UK web site: www.bangor.ac.uk/r.brown 3. http://hopf.math.purdue.edu/cgi-bin/generate?/Chebolu-Minac/BIRS-Survey Title: Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture Authors: Sunil K. Chebolu and Jan Minac Abstract: In this paper we concentrate on the relations between the structure of small Galois groups, arithmetic of fields, Bloch-Kato conjecture, and Galois groups of maximal pro-p-quotients of absolute Galois groups. Comments: To appear in the proceedings of the BIRS workshop "New Topological Contexts for Galois Theory and Algebraic Geometry" in Topology and Geometry monographs. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/Hovey-Lockridge/weak-dim-2 The ghost and weak dimensions of rings and ring spectra Mark Hovey and Keir Lockridge The primary object of this paper is to prove the conjecture of the authors from a previous paper, explaining how to recover the weak dimension of a ring from its derived category. In the process, we develop a theory of weak dimension, which we call ghost dimension, for the generalized rings, known as ring spectra, that arise in algebraic topology. 5. http://hopf.math.purdue.edu/cgi-bin/generate?/Huber-Kings-Naumann/Lazard-complements Title: Some complements to the Lazard isomorphism Authors: Annette Huber, Guido Kings and Niko Naumann Abstract: Lazard showed in his seminal work that for rational coefficients continuous group cohomology of $p$-adic Lie-groups is isomorphic to Lie-algebra cohomology. We refine this result in two directions: firstly we extend his isomorphism under certain conditions to integral coefficients and secondly, we show that for algebraic groups, his isomorphism can be realized by differentiating locally analytic cochains. ---------------------Instructions----------------------------- To subscribe or unsubscribe to this listserv, go to https://lists.lehigh.edu/mailman/listinfo/algtop-l. To see past issues of new submissions to Hopf, go to http://math.wesleyan.edu/~mhovey/archive/ To get the papers listed above, go to the URL listed. The general Hopf archive URL is http://hopf.math.purdue.edu There is a web form for submitting papers to Hopf on this site as well. You should submit an abstract as well. Clarence has explicit instructions for the form of this abstract: see http://hopf.math.purdue.edu/new-html/submissions.html In particular, your abstract is meant to be read by humans, so should be as readable as possible. I reserve the right to edit unreadable abstracts. You should then e-mail Clarence at wilker at math.purdue.edu telling him what you have uploaded. The largest archive of math preprints is at http://arxiv.gov There is an algebraic topology section in this archive. The most useful way to browse it or submit papers to it is via the front end developed by Greg Kuperberg: http://front.math.ucdavis.edu To get the announcements of new papers in the algebraic topology section at the arXiv, send e-mail to math@arxiv.org with subject line "subscribe" (without quotes), and with the body of the message "add AT" (without quotes). I am solely responsible for these messages---don't send complaints about them to Clarence. Thanks to Clarence for creating and maintaining the archive.