Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2
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| Title: | Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 |
|---|---|
| Description: | The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains. |
| Authors: | Raf Cluckers, Johannes Nicaise, Julien Sebag |
| Resource Type: | eBook. |
| Subjects: | Geometry, Algebraic, Motives (Mathematics), Model theory, Valued fields, Analytic spaces |
| Categories: | MATHEMATICS / Infinity, MATHEMATICS / Logic |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 – Name: Abstract Label: Description Group: Ab Data: The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Raf+Cluckers%22">Raf Cluckers</searchLink><br /><searchLink fieldCode="AR" term="%22Johannes+Nicaise%22">Johannes Nicaise</searchLink><br /><searchLink fieldCode="AR" term="%22Julien+Sebag%22">Julien Sebag</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Geometry%2C+Algebraic%22">Geometry, Algebraic</searchLink><br /><searchLink fieldCode="DE" term="%22Motives+%28Mathematics%29%22">Motives (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Model+theory%22">Model theory</searchLink><br /><searchLink fieldCode="DE" term="%22Valued+fields%22">Valued fields</searchLink><br /><searchLink fieldCode="DE" term="%22Analytic+spaces%22">Analytic spaces</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Infinity%22">MATHEMATICS / Infinity</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Logic%22">MATHEMATICS / Logic</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 511.34 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Geometry, Algebraic Type: general – SubjectFull: Motives (Mathematics) Type: general – SubjectFull: Model theory Type: general – SubjectFull: Valued fields Type: general – SubjectFull: Analytic spaces Type: general Titles: – TitleFull: Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Raf Cluckers – PersonEntity: Name: NameFull: Johannes Nicaise – PersonEntity: Name: NameFull: Julien Sebag – PersonEntity: Name: NameFull: Raf Cluckers – PersonEntity: Name: NameFull: Johannes Nicaise – PersonEntity: Name: NameFull: Julien Sebag IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2011 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9781107648814 – Type: isbn-electronic Value: 9781139145350 Numbering: – Type: volume Value: 00383 Titles: – TitleFull: Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 Type: main |
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