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.
     
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