Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry

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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

Author: Raf Cluckers
language: en
Publisher: Cambridge University Press
Release Date: 2011-09-22
Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.
Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry

The 1st 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. The 2nd volume discusses various applications of non-Archimedian geometry, model theory and motivic integration and the interactions between these domains.
Motivic Integration and Its Interactions with Model Theory and Non-Archimedean Geometry:

An overview of different theories of motivic integration and their applications.