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Berkovich spaces and applications

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Author(s): Ducros, Antoine; Favre, Charles; Nicaise, Johannes et al. (eds.)
Series: Springer Lecture notes in mathematics 2119
Publisher: Springer
Year: 2015

Language: English
Pages: 413
City: Cham

Content: Introduction to Berkovich analytic spaces.- Etale cohomology of schemes and analytic spaces.- Countability properties of Berkovich spaces.- Cohomological finiteness of proper morphisms in algebraic geometry: a purely transcendental proof, without projective tools.- Bruhat-Tits buildings and analytic geometry.- Dynamics on Berkovich spaces in low dimensions.- Compactifications of spaces of representations (after Culler, Morgan and Shalen).