Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2
eBook - PDF

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

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

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

About this book

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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Yes, you can access Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 by Raf Cluckers,Johannes Nicaise,Julien Sebag in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Table of Contents for Volume II
  5. List of contributors
  6. Preface
  7. 9 Heights and measures on analytic spaces. A survey of recent results, and some remarks
  8. 10 C-minimal structures without density assumption
  9. 11 Trees of definable sets in Zp
  10. 12 Triangulated motives over noetherian separated schemes
  11. 13 A survey of algebraic exponential sums and some applications
  12. 14 A motivic version of p-adic integration
  13. 15 Absolute desingularization in characteristic zero