Motivic integration and its interactions with model theory and non-Archimedean geometry /

"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 [work] assembles...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Cluckers, Raf, Nicaise, Johannes, Sebag, Julien
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2011.
Colección:London Mathematical Society lecture note series ; 383, 384.
Temas:
Model theory.
Valued fields.
Analytic spaces.
Motives (Mathematics)
Geometry, Algebraic.
Théorie des modèles.
Corps valués.
Espaces analytiques.
Motifs (Mathématiques)
Géométrie algébrique.
MATHEMATICS > Infinity.
MATHEMATICS > Logic.
Analytic spaces
Geometry, Algebraic
Model theory
Valued fields
Acceso en línea:Texto completo
Tabla de Contenidos:
  • v. 1. Introduction ; Introductory notes on the model theory of valued fields / Zoé Chatzidakis ; On the definition of rigid analytic spaces / Siegfried Bosch ; Topological rings in rigid geometry / Fumiharu Kato ; The Grothendieck ring of varieties / Johannes Nicaise and Julien Sebag ; A short course on geometric motivic integration / Manuel Blickle ; Motivic invariants of rigid varieties, and applications to complex singularities / Johannes Nicaise and Julien Sebag ; Motivic integration in mixed characteristic with bounded ramification : a summary / Raf Cluckers and François Loeser
  • v. 2. 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.

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