Información del autor
Autor Østvær, Paul Arne |
Documentos disponibles escritos por este autor (3)
Refinar búsquedaAlgebraic Topology / SpringerLink (Online service) ; Nils Baas ; Friedlander, Eric M ; Jahren, Björn ; Østvær, Paul Arne (2009)
Título : Algebraic Topology : The Abel Symposium 2007 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Nils Baas ; Friedlander, Eric M ; Jahren, Björn ; Østvær, Paul Arne Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Abel Symposia, ISSN 2193-2808 num. 4 Número de páginas: XIV, 409 p. 190 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-01200-6 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry K-theory Mathematical models topology Physics Topology Modeling and Industrial Geometry K-Theory Theoretical, Computational Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: 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#x0027;s Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky#x0027;s Lectures on Motivic Cohomology 2000/2001 En línea: http://dx.doi.org/10.1007/978-3-642-01200-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34066 Algebraic Topology : The Abel Symposium 2007 [documento electrónico] / SpringerLink (Online service) ; Nils Baas ; Friedlander, Eric M ; Jahren, Björn ; Østvær, Paul Arne . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XIV, 409 p. 190 illus : online resource. - (Abel Symposia, ISSN 2193-2808; 4) .
ISBN : 978-3-642-01200-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry K-theory Mathematical models topology Physics Topology Modeling and Industrial Geometry K-Theory Theoretical, Computational Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: 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#x0027;s Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky#x0027;s Lectures on Motivic Cohomology 2000/2001 En línea: http://dx.doi.org/10.1007/978-3-642-01200-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34066 Ejemplares
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Título : Homotopy Theory of C*-Algebras Tipo de documento: documento electrónico Autores: Østvær, Paul Arne ; SpringerLink (Online service) Editorial: Basel : Springer Basel Fecha de publicación: 2010 Colección: Frontiers in Mathematics, ISSN 1660-8046 Número de páginas: VI, 140p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0565-6 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Algebraic topology Topology Analysis Clasificación: 51 Matemáticas Resumen: Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications Nota de contenido: 1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0346-0565-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33689 Homotopy Theory of C*-Algebras [documento electrónico] / Østvær, Paul Arne ; SpringerLink (Online service) . - Basel : Springer Basel, 2010 . - VI, 140p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-0346-0565-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Algebraic topology Topology Analysis Clasificación: 51 Matemáticas Resumen: Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications Nota de contenido: 1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0346-0565-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33689 Ejemplares
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Título : Motivic Homotopy Theory : Lectures at a Summer School in Nordfjordeid, Norway, August 2002 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Bjørn Ian Dundas ; Levine, Marc ; Østvær, Paul Arne ; Röndigs, Oliver ; Voevodsky, Vladimir Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Colección: Universitext, ISSN 0172-5939 Número de páginas: X, 226 p Il.: online resource ISBN/ISSN/DL: 978-3-540-45897-5 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Group theory topology Theory and Generalizations Topology Geometry Clasificación: 51 Matemáticas Nota de contenido: Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory -- Basic Properties and Examples -- Deeper Structure: Simplicial Sets -- Model Categories -- Motivic Spaces and Spectra -- Background from Algebraic Geometry -- Elementary Algebraic Geometry -- Sheaves for a Grothendieck Topology -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory En línea: http://dx.doi.org/10.1007/978-3-540-45897-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34634 Motivic Homotopy Theory : Lectures at a Summer School in Nordfjordeid, Norway, August 2002 [documento electrónico] / SpringerLink (Online service) ; Bjørn Ian Dundas ; Levine, Marc ; Østvær, Paul Arne ; Röndigs, Oliver ; Voevodsky, Vladimir . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - X, 226 p : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-3-540-45897-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Group theory topology Theory and Generalizations Topology Geometry Clasificación: 51 Matemáticas Nota de contenido: Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory -- Basic Properties and Examples -- Deeper Structure: Simplicial Sets -- Model Categories -- Motivic Spaces and Spectra -- Background from Algebraic Geometry -- Elementary Algebraic Geometry -- Sheaves for a Grothendieck Topology -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory En línea: http://dx.doi.org/10.1007/978-3-540-45897-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34634 Ejemplares
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