Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2:
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 dif...
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| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2011
|
| Series: | London Mathematical Society lecture note series
384 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xi, 250 pages) |
| ISBN: | 9780511984433 |
| DOI: | 10.1017/CBO9780511984433 |
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| 246 | 1 | 3 | |a Motivic Integration & its Interactions with Model Theory & Non-Archimedean Geometry |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin | |
| 520 | |a 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 | ||
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| contents | Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin |
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| dewey-full | 511.3/4 |
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| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/4 |
| dewey-search | 511.3/4 |
| dewey-sort | 3511.3 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511984433 |
| format | Electronic eBook |
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| id | DE-604.BV043942453 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511984433 |
| language | English |
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| spelling | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag Motivic Integration & its Interactions with Model Theory & Non-Archimedean Geometry Cambridge Cambridge University Press 2011 1 online resource (xi, 250 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 384 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin 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 Model theory Valued fields Analytic spaces Geometry, Algebraic Cluckers, Raf edt Nicaise, Johannes edt Sebag, Julien edt Erscheint auch als Druckausgabe 978-1-107-64881-4 https://doi.org/10.1017/CBO9780511984433 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin Model theory Valued fields Analytic spaces Geometry, Algebraic |
| title | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 |
| title_alt | Motivic Integration & its Interactions with Model Theory & Non-Archimedean Geometry |
| title_auth | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 |
| title_exact_search | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 |
| title_full | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag |
| title_fullStr | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag |
| title_full_unstemmed | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag |
| title_short | Motivic integration and its interactions with model theory and non-Archimedean geometry, Volume 2 |
| title_sort | motivic integration and its interactions with model theory and non archimedean geometry volume 2 |
| topic | Model theory Valued fields Analytic spaces Geometry, Algebraic |
| topic_facet | Model theory Valued fields Analytic spaces Geometry, Algebraic |
| url | https://doi.org/10.1017/CBO9780511984433 |
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