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The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The courses begin at an introductory level suitable for graduate students and lead up to currently active topics of research. The articles in this volume include introductions to CAT(0) cube complexes and groups, to modern small cancellation theory, to isometry groups of general CAT(0) spaces, and a discussion of nilpotent genus in the context of mapping class groups and CAT(0) groups. One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups.
This book is a valuable resource for graduate students and researchers interested in geometric group theory.
The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The courses begin at an introductory level suitable for graduate students and lead up to currently active topics of research. The articles in this volume include introductions to CAT(0) cube complexes and groups, to modern small cancellation theory, to isometry groups of general CAT(0) spaces, and a discussion of nilpotent genus in the context of mapping class groups and CAT(0) groups. One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups.
This book is a valuable resource for graduate students and researchers interested in geometric group theory.
Michah Sageev, Technion-Israel Institute of Technology, Haifa, Israel.
Karen Vogtmann, University of Warwick, Coventry, United Kingdom.
- CAT(0) cube complexes and groups by M. Sageev
- Geometric small cancellation by V. Guirardel
- Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace
- Lectures on quasi-isometric rigidity by M. Kapovich
- Geometry of outer space by M. Bestvina
- Some arithmetic groups that do not act on the circle by D. W. Morris
- Lectures on lattices and locally symmetric spaces by T. Gelander
- Lectures on marked length spectrum rigidity by A. Wilkinson
- Expander graphs, property t and approximate groups by E. Breuillard
- Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. Bridson
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | Einband - fest (Hardcover) |
| ISBN-13: | 9781470412272 |
| ISBN-10: | 1470412276 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Miaden Bestvina
Michah Sageev Karen Vogtmann |
| Redaktion: |
Vogtmann, Karen
Bestvina, Miaden Sageev, Michah |
| Hersteller: | American Mathematical Society |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 263 x 190 x 25 mm |
| Von/Mit: | Karen Vogtmann (u. a.) |
| Erscheinungsdatum: | 28.02.2015 |
| Gewicht: | 0,878 kg |
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