Geometric and cohomological methods in group theory:
Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical prob...
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| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2009
|
| Series: | London Mathematical Society lecture note series
358 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 320 pages) |
| ISBN: | 9781139107099 |
| DOI: | 10.1017/CBO9781139107099 |
Staff View
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| 520 | |a Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting | ||
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Record in the Search Index
| _version_ | 1804176892815736832 |
|---|---|
| any_adam_object | |
| author2 | Bridson, Martin R. 1964- Kropholler, Peter H. 1957- Leary, Ian J. |
| author2_role | edt edt edt |
| author2_variant | m r b mr mrb p h k ph phk i j l ij ijl |
| author_additional | M. Bestvin M. Feighn H. Wilton W. Lück J. McCammond L. Mosher I. Chatterji G. Mislin P.H. Kropholler P. Linnell V.P. Snaith O. Talelli J.S. Wilson |
| author_corporate | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| author_corporate_role | aut |
| author_facet | Bridson, Martin R. 1964- Kropholler, Peter H. 1957- Leary, Ian J. London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| author_sort | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> |
| building | Verbundindex |
| bvnumber | BV043945997 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| contents | Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups |
| ctrlnum | (ZDB-20-CBO)CR9781139107099 (OCoLC)850968688 (DE-599)BVBBV043945997 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139107099 |
| format | Electronic eBook |
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| isbn | 9781139107099 |
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| spelling | London Mathematical Society Symposium on Geometry and Cohomology in Group Theory < 2003, Durham, England> Verfasser aut Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary Geometric & Cohomological Methods in Group Theory Cambridge Cambridge University Press 2009 1 online resource (x, 320 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 358 Title from publisher's bibliographic system (viewed on 05 Oct 2015) and Notes on Sela's work: limit groups and Makanin-Razborov diagrams M. Bestvin M. Feighn Solutions to Bestvina & Feighn's exercises on limit groups H. Wilton L²-invariants from the algebraic point of view W. Lück Constructing non-positively curved spaces and groups J. McCammond Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups L. Mosher and Hattori-Stallings trace and Euler characteristics for groups I. Chatterji G. Mislin and Groups of small homological dimension and the Atiyah conjecture P.H. Kropholler P. Linnell W. Lück Logarithms and assembly maps on Kn̳(Zl̳[G]) V.P. Snaith On complete resolutions O. Talelli Structure theory for branch groups J.S. Wilson Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Geometrische Gruppentheorie (DE-588)4651615-3 s 1\p DE-604 Bridson, Martin R. 1964- edt Kropholler, Peter H. 1957- edt Leary, Ian J. edt Erscheint auch als Druckausgabe 978-0-521-75724-9 https://doi.org/10.1017/CBO9781139107099 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geometric and cohomological methods in group theory Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| subject_GND | (DE-588)4651615-3 (DE-588)1071861417 |
| title | Geometric and cohomological methods in group theory |
| title_alt | Geometric & Cohomological Methods in Group Theory Notes on Sela's work: limit groups and Makanin-Razborov diagrams Solutions to Bestvina & Feighn's exercises on limit groups L²-invariants from the algebraic point of view Constructing non-positively curved spaces and groups Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups Hattori-Stallings trace and Euler characteristics for groups Groups of small homological dimension and the Atiyah conjecture Logarithms and assembly maps on Kn̳(Zl̳[G]) On complete resolutions Structure theory for branch groups |
| title_auth | Geometric and cohomological methods in group theory |
| title_exact_search | Geometric and cohomological methods in group theory |
| title_full | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_fullStr | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_full_unstemmed | Geometric and cohomological methods in group theory edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary |
| title_short | Geometric and cohomological methods in group theory |
| title_sort | geometric and cohomological methods in group theory |
| topic | Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| topic_facet | Geometric group theory / Congresses Homology theory / Congresses Geometrische Gruppentheorie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781139107099 |
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