Algebraic Topology: The Abel Symposium 2007

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Nils Baas, Eric Friedlander, Bjrn Jahren, Paul Arne stvr
Springer Science & Business Media, Aug 5, 2009 - Mathematics - 409 pages
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The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.

 

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Contents

The Classifying Space of a Topological 2Group
1
String Topology in Dimensions Two and Three
32
Floer Homotopy Theory Realizing Chain Complexes by Module Spectra and Manifolds with Corners
39
Relative Chern Characters for Nilpotent Ideals
60
Algebraic Differential Characters of FlatConnections with Nilpotent Residues
83
Norm Varieties and the Chain Lemma After Markus Rost
95
On the Whitehead Spectrum of the Circle
131
Cocycle Categories
185
A Survey of Elliptic Cohomology
219
On Voevodskys Algebraic KTheory Spectrum
279
Chern Character Loop Spaces and Derived Algebraic Geometry
331
Voevodskys Lectures on Motivic Cohomology 20002001
355
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