Volume 16 (2009)

Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
MSP Books and Monographs
About this Series
Editorial Board
Ethics Statement
Author Index
Submission Guidelines
Author Copyright Form
Purchases
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989


New Topological Contexts for Galois Theory and Algebraic Geometry (BIRS 2008)

Editors: Andrew Baker and Birgit Richter

[Group
photograph]


Group photograph
List of participants
Titles of talks
 

In the late twentieth century, stable homotopy theory expanded rapidly and became increasingly sophisticated in defining homotopically invariant algebraic machinery associated with multiplicative cohomology theories and their internal operations. Inputs to these developments have included established mathematical ideas from subjects such as algebraic geometry and number theory. The workshop `New Topological Contexts for Galois Theory and Algebraic Geometry' brought together topologists involved in developing or using these new techniques and allowed for the interactions with other subject areas by including non-topologist participants who would contribute to this.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) provided wonderful facilities and support, amidst stunning mountain scenery, and we would like to thank all the staff and funding bodies that made it possible.

Andrew Baker (Glasgow) and Birgit Richter (Hamburg)

Geometry & Topology Monographs 16 (2009)

DOI: 10.2140/gtm.2009.16

The spectra ko and ku are not Thom spectra: an approach using THH
1

Vigleik Angeltveit, Michael Hill and Tyler Lawson

β–family congruences and the f–invariant
9

Mark Behrens and Gerd Laures

Absolute Galois groups viewed from small quotients and the Bloch–Kato conjecture
31

Sunil Chebolu and Ján Mináč

Realizing families of Landweber exact homology theories
49

Paul G Goerss

Homotopic Hopf–Galois extensions: Foundations and examples
79

Kathryn Hess

Intersection homological algebra
133

Mark Hovey

The K–theory presheaf of spectra
151

John F Jardine

An overview of abelian varieties in homotopy theory
179

Tyler Lawson

What precisely are E ring spaces and E ring spectra?
215

J P May

The construction of E ring spaces from bipermutative categories
283

J P May

What are E ring spaces good for?
331

J P May

Hopf Galois theory: A survey
367

Susan Montgomery

Topological logarithmic structures
401

John Rognes

The cyclotomic trace for symmetric ring spectra
545

Christian Schlichtkrull

 

Publication of this monograph is now complete.