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Spectral Theory and Analytic Geometry - AMS Mathematics Book

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Description

Explore advanced mathematical concepts with Spectral Theory and Analytic Geometry over Non-Archimedean Fields. Part of the Mathematical Surveys and Monographs series, this text introduces a new notion of analytic space over a non-Archimedean field. Despite the disconnected nature of the ground field, these analytic spaces maintain standard topological properties found in complex analytic spaces, including local compactness and local arcwise connectedness. This work enables the application of homotopy and singular homology to these spaces. It provides a homotopic characterization of analytic spaces associated with specific classes of algebraic varieties and offers a clear interpretation of Bruhat-Tits buildings through the lens of these analytic spaces. This book is a specialized resource for researchers and students in algebra and geometry.

Key Features

Introduces a new notion of analytic space specifically over a non-Archimedean field.

Explains how these analytic spaces maintain local compactness and local arcwise connectedness.

Enables the use of standard homotopy and singular homology within these mathematical frameworks.

Provides a homotopic characterization of analytic spaces for certain algebraic varieties.

Includes an interpretation of Bruhat-Tits buildings in terms of these analytic spaces.

Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 August 2012
Listed Since
06 December 2013

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