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Topology and Geometric Group Theory
  • Language: en
  • Pages: 179

Topology and Geometric Group Theory

  • Type: Book
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  • Published: 2016-09-14
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  • Publisher: Springer

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.

Computational Invariant Theory
  • Language: en
  • Pages: 272

Computational Invariant Theory

This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

Geometry and Cohomology in Group Theory
  • Language: en
  • Pages: 332

Geometry and Cohomology in Group Theory

This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.

Groups St Andrews 2017 in Birmingham
  • Language: en
  • Pages: 510

Groups St Andrews 2017 in Birmingham

These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.

Maximal Cohen–Macaulay Modules and Tate Cohomology
  • Language: en
  • Pages: 175

Maximal Cohen–Macaulay Modules and Tate Cohomology

This book is a lightly edited version of the unpublished manuscript Maximal Cohen–Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen–Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen–Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitz's manuscript.

Geometric Group Theory: Volume 1
  • Language: en
  • Pages: 226

Geometric Group Theory: Volume 1

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

Combinatorial and Geometric Group Theory, Edinburgh 1993
  • Language: en
  • Pages: 340

Combinatorial and Geometric Group Theory, Edinburgh 1993

Authoritative collection of surveys and papers that will be indispensable to all research workers in the area.

Geometric and Cohomological Group Theory
  • Language: en
  • Pages: 277

Geometric and Cohomological Group Theory

Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.

Geometric and Cohomological Methods in Group Theory
  • Language: en
  • Pages: 331

Geometric and Cohomological Methods in Group Theory

An extended tour through a selection of the most important trends in modern geometric group theory.

Guido's Book of Conjectures
  • Language: en
  • Pages: 196

Guido's Book of Conjectures

  • Type: Book
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  • Published: 2008
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  • Publisher: Unknown

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