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Algebraic Topology [electronic resource] :The Abel Symposium 2007 / edited by Nils Baas, Eric M. Friedlander, Björn Jahren, Paul Arne Østvær.

by Baas, Nils [editor.]; Friedlander, Eric M [editor.]; Jahren, Björn [editor.]; Østvær, Paul Arne [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Abel Symposia: 4Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.Description: online resource.ISBN: 9783642012006.Subject(s): Mathematics | Geometry, algebraic | K-theory | Algebraic topology | Mathematical physics | Mathematics | Algebraic Geometry | K-Theory | Algebraic Topology | Mathematical and Computational PhysicsDDC classification: 516.35 Online resources: Click here to access online
Contents:
The Classifying Space of a Topological 2-Group -- String Topology in Dimensions Two and Three -- Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners -- Relative Chern Characters for Nilpotent Ideals -- Algebraic Differential Characters of Flat Connections with Nilpotent Residues -- Norm Varieties and the Chain Lemma (After Markus Rost) -- On the Whitehead Spectrum of the Circle -- Cocycle Categories -- A Survey of Elliptic Cohomology -- On Voevodsky's Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky's Lectures on Motivic Cohomology 2000/2001.
In: Springer eBooksSummary: 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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The Classifying Space of a Topological 2-Group -- String Topology in Dimensions Two and Three -- Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners -- Relative Chern Characters for Nilpotent Ideals -- Algebraic Differential Characters of Flat Connections with Nilpotent Residues -- Norm Varieties and the Chain Lemma (After Markus Rost) -- On the Whitehead Spectrum of the Circle -- Cocycle Categories -- A Survey of Elliptic Cohomology -- On Voevodsky's Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky's Lectures on Motivic Cohomology 2000/2001.

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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