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Motivic integration and its interactions with model theory and non-Archimedean geometry /
"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 [work] assembles...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
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| Colección: | London Mathematical Society lecture note series ;
383, 384. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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 [work] 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 [work] will prove invaluable"--Page 4 of cover The 1st volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces. The 2nd volume discusses various applications of non-Archimedian geometry, model theory and motivic integration and the interactions between these domains. |
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| Descripción Física: | 1 online resource (2 volumes) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781139145350 1139145355 9780521149761 0521149762 9781107648814 1107648815 9780511667534 0511667531 |