TY  - BOOK
AU  - Cluckers,Raf
AU  - Nicaise,Johannes
AU  - Sebag,Julien
TI  - Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511667534 (ebook)
AV  - QA9.7  .M68 2011
U1  - 511.3/4 23
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Model theory
KW  - Valued fields
KW  - Analytic spaces
KW  - Geometry, Algebraic
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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 first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces
UR  - http://dx.doi.org/10.1017/CBO9780511667534
ER  -