Motivic integration and its interactions with model theory and nonArchimedean geometry
 Responsibility
 edited by Raf Cluckers, Johannes Nicaise, Julien Sebag.
 Language
 English.
 Imprint
 Cambridge, UK ; New York, NY : Cambridge University Press, 2011.
 Physical description
 <2 v.> : ill. ; 23 cm.
 Series
 London Mathematical Society lecture note series ; 383384.
Access
Available online
Science Library (Li and Ma)
Stacks
Library has: v.12
Call number  Status 

QA9.7 .M68 2011 V.1  Unknown 
QA9.7 .M68 2011 V.2  Unknown 
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Creators/Contributors
Contents/Summary
 Contents

 1. Introduction Raf Cluckers, Johannes Nicaise and Julien Sebag 2. Introduction to the model theory of valued fields Zoe Chatzidakis 3. On the definition of rigid analytic spaces Siegfried Bosch 4. Topological rings in rigid geometry Fumiharu Kato 5. The Grothendieck ring of varieties Johannes Nicaise and Julien Sebag 6. A short course on geometric motivic integration Manuel Blickle 7. Motivic invariants of rigid varieties and applications to complex singularities Johannes Nicaise and Julien Sebag 8. Motivic integration in mixed characteristic with bounded ramification: a summary Raf Cluckers and Francois Loeser.
 (source: Nielsen Book Data)9780521149761 20160606
 Preface 1. Heights and measures on analytic spaces: a survey of recent results, and some remarks Antoine ChambertLoir 2. Cminimal structures without density assumption Francoise Delon 3. Trees of definable sets in Zp Immanuel Halupczok 4. Triangulated motives over Noetherian separated schemes Florian Ivorra 5. A survey of algebraic exponential sums and some applications Emmanuel Kowalski 6. A motivic version of padic integration Karl Rokaeus 7. Absolute desingularization in characteristic zero Michael Temkin.
 (source: Nielsen Book Data)9781107648814 20160606
 Publisher's 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 nonArchimedean 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 rapidlyevolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to nonArchimedean geometry, and motivic integration on algebraic varieties and nonArchimedean spaces.
(source: Nielsen Book Data)9780521149761 20160606
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Bibliographic information
 Publication date
 2011
 Series
 London Mathematical Society lecture note series ; 383384
 ISBN
 9780521149761 (pbk.)
 0521149762 (pbk.)
 9781107648814 (v. 2 : pbk.)
 1107648815 (v. 2 : pbk.)