Motivic integration and its interactions with model theory and non-Archimedean geometry - Info and Reading Options
By Raf Cluckers
"Motivic integration and its interactions with model theory and non-Archimedean geometry" was published by Cambridge University Press in 2011 - Cambridge, it has 348 pages and the language of the book is English.
“Motivic integration and its interactions with model theory and non-Archimedean geometry” Metadata:
- Title: ➤ Motivic integration and its interactions with model theory and non-Archimedean geometry
- Author: Raf Cluckers
- Language: English
- Number of Pages: 348
- Publisher: Cambridge University Press
- Publish Date: 2011
- Publish Location: Cambridge
“Motivic integration and its interactions with model theory and non-Archimedean geometry” Subjects and Themes:
- Subjects: ➤ MATHEMATICS / Logic - Valued fields - Model theory - Analytic spaces - Algebraic Geometry - Motives (Mathematics) - Geometry, algebraic
Edition Specifications:
- Pagination: p. cm.
Edition Identifiers:
- The Open Library ID: OL24906379M - OL16002198W
- Online Computer Library Center (OCLC) ID: 760981625
- Library of Congress Control Number (LCCN): 2011021254
- ISBN-13: 9780521149761
- All ISBNs: 9780521149761
AI-generated Review of “Motivic integration and its interactions with model theory and non-Archimedean geometry”:
"Motivic integration and its interactions with model theory and non-Archimedean geometry" Table Of Contents:
- 1- Machine generated contents note: 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 François Loeser.
"Motivic integration and its interactions with model theory and non-Archimedean geometry" Description:
The Open Library:
"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"--
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