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

Raf Cluckers is a Research Associate of the CNRS at Université de Lille 1, France. Johannes Nicaise is a Professor in the Department of Mathematics at the Katholieke Universiteit Leuven, Belgium. Julien Sebag is a Professor in the UFR Mathématiques at the Université de Rennes 1, France.

• Preface; 1. Heights and measures on analytic spaces: a survey of recent results, and some remarks Antoine Chambert-Loir; 2. C-minimal structures without density assumption Françoise Delon; 3. Trees of definable sets in Zp Immanuel Halupczok; 4. Triangulated motives over Noetherian separated schemes Florian Ivorra; 5. A survey of algebraic exponential sums and some applications Emmanuel Kowalski; 6. A motivic version of p-adic integration Karl Rökaeus; 7. Absolute desingularization in characteristic zero Michael Temkin.

"Because of the variety of different aspects of the theory and the many areas of mathematics that come into play, a book like the present one is particularly precious for someone interested in learning about motivic integration as well as for someone- like the reviewer - who is familiar with some aspects of the theory but less with others and would like to learn more about this rich and beautiful subject." Tommaso De Fernex, Mathematical Reviews