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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Raf Cluckers is a Research Associate of the CNRS at Université de Lille 1, France.
Johannes Nicaise is a Professor in the Department of Mathematics at the Katholieke Universiteit Leuven, Belgium.
Julien Sebag is a Professor in the UFR Mathématiques at the Université de Rennes 1, France.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. 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. Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 1, which unite the several viewpoints and applications, will prove invaluable. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781107648814
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Etat : New. An overview of different theories of motivic integration and their applications. Editor(s): Cluckers, Raf; Nicaise, Johannes; Sebag, Julien. Series: London Mathematical Society Lecture Note Series. Num Pages: 262 pages, 11 b/w illus. BIC Classification: PBCD; PBMW. Category: (U) Tertiary Education (US: College). Dimension: 156 x 227 x 14. Weight in Grams: 388. . 2011. Paperback. . . . . N° de réf. du vendeur V9781107648814
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