Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (Paperback)

Raf Cluckers

ISBN 10: 1107648815 / ISBN 13: 9781107648814

Published by Cambridge University Press, Cambridge, 2011

About this Item

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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107648814

Bibliographic Details

• Title: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2011
• Language: English
• ISBN 10: 1107648815
• ISBN 13: 9781107648814
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Authors

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.