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.
| ISBN: | 9781107648814 |
| Publication date: | 22nd September 2011 |
| Author: | Raf Université de Lille Cluckers |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 262 pages |
| Series: | London Mathematical Society Lecture Note Series |
| Genres: |
Mathematical logic Algebraic 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 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.
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 features in the following genres: Mathematical logic, Algebraic geometry
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 is available in Paperback
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 was written by Raf Université de Lille Cluckers and published by Cambridge University Press
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 has 262 pages
Yes it is part of London Mathematical Society Lecture Note Series series
£53.10