Motivic integration and its interactions with model theory and non-Archimedean geometry. Volume 2 / edited by Raf Cluckers, Johannes Nicaise, Julien Sebag.

Format:

Book

Contributor:

Cluckers, Raf, editor.

Nicaise, Johannes, editor.

Sebag, Julien, editor.

Series:

London Mathematical Society lecture note series ; 384.

London Mathematical Society lecture note series ; 384

Language:

English

Subjects (All):

Model theory.

Valued fields.

Analytic spaces.

Geometry, Algebraic.

Physical Description:

1 online resource (xi, 250 pages) : digital, PDF file(s).

Other Title:

Motivic Integration & its Interactions with Model Theory & Non-Archimedean Geometry

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

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 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.

Contents:

Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-107-22249-4

0-511-98443-X

1-283-31684-6

1-139-13957-6

9786613316844

1-139-14115-5

1-139-14535-5

1-139-13802-2

1-139-14203-8

OCLC:

763157897