Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry Volume 2 / Edited by Raf Cluckers, Johannes Nicaise, Julien Sebag.

Contributor(s): Cluckers, Raf [editor of compilation.] | Nicaise, Johannes [editor of compilation.] | Sebag, Julien [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 384Publisher: Cambridge : Cambridge University Press, 2011Description: 1 online resource (262 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511984433 (ebook)Other title: Motivic Integration & its Interactions with Model Theory & Non-Archimedean GeometryAdditional physical formats: Print version: : No titleOnline resources: Click here to access online 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.
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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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