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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 (Paperback, New)
Loot Price: R2,200
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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 (Paperback, New)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 10 - 15 working days
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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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