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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Paperback

Series: London Mathematical Society Lecture Note, Book 384

Fiction

ISBN10: 1107648815
ISBN13: 9781107648814
Publisher: Cambridge University Press
Published: Sep 22 2011
Pages: 262
Weight: 0.80
Height: 0.70 Width: 5.90 Depth: 8.90
Language: English
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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