Volume 16 (2009)

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

Editors: Andrew Baker and Birgit Richter


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

Vigleik Angeltveit, Michael Hill and Tyler Lawson

β–family congruences and the f–invariant

Mark Behrens and Gerd Laures

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

Sunil Chebolu and Ján Mináč

Realizing families of Landweber exact homology theories

Paul G Goerss

Homotopic Hopf–Galois extensions: Foundations and examples

Kathryn Hess

Intersection homological algebra

Mark Hovey

The K–theory presheaf of spectra

John F Jardine

An overview of abelian varieties in homotopy theory

Tyler Lawson

What precisely are E ring spaces and E ring spectra?

J P May

The construction of E ring spaces from bipermutative categories

J P May

What are E ring spaces good for?

J P May

Hopf Galois theory: A survey

Susan Montgomery

Topological logarithmic structures

John Rognes

The cyclotomic trace for symmetric ring spectra

Christian Schlichtkrull


Publication of this monograph is now complete.