Homotopy Theoretic Methods in Group Cohomology by William G Dwyer
This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces, simplicial complexes and homotopy colimits.-
Harmonic and Geometric Analysis
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Integral Geometry and Valuations
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Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension
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Mean Curvature Flow and Isoperimetric Inequalities
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Elliptic Curves, Hilbert Modular Forms and Galois Deformations
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Contemporary Cryptology
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The Geometry of the Word Problem for Finitely Generated Groups
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Simplicial Methods for Operads and Algebraic Geometry
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Combinatorial Number Theory and Additive Group Theory
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Compactifying Moduli Spaces
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Ramsey Methods in Analysis
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Group-based Cryptography
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Hyperbolic Cross Approximation
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Central Configurations, Periodic Orbits, and Hamiltonian Systems
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Crossed Products of C*-Algebras, Topological Dynamics, and Classification
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Numerical Solutions of Partial Differential Equations
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Proper Group Actions and the Baum-Connes Conjecture
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An Introduction to Piecewise Smooth Dynamics
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Geometry and Dynamics of Integrable Systems
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Building Bridges Between Algebra and Topology
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Combinatorial Matrix Theory
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Lectures on Algebraic Quantum Groups
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Polynomial Identity Rings
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Kolmogorov Equations for Stochastic PDEs
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String Topology and Cyclic Homology
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Symplectic Geometry of Integrable Hamiltonian Systems
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Algorithmic and Geometric Topics Around Free Groups and Automorphisms
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Geometry and Quantization of Moduli Spaces
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From Levy-Type Processes to Parabolic SPDEs
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Variable Lebesgue Spaces and Hyperbolic Systems
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Higher Structures and Operadic Calculus
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Advances in Poisson Geometry
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Analysis on h-Harmonics and Dunkl Transforms
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An Introduction to C*-Algebras and the Classification Program
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Global Riemannian Geometry: Curvature and Topology
| SKU | Unavailable |
| ISBN 13 | 9783764366056 |
| ISBN 10 | 3764366052 |
| Title | Homotopy Theoretic Methods in Group Cohomology |
| Author | William G Dwyer |
| Series | Advanced Courses In Mathematics - Crm Barcelona |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2001-10-01 |
| Number of pages | 98 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |