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Perfectoid Spaces: A survey

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arxiv 1303.5948 v1 pith:G73PW7HS submitted 2013-03-24 math.AG math.NT

Peter Scholze This is my paper
classification math.AGmath.NT
keywords perfectoidspacesapartcomplementsconferencecontentcurrentdevelopments
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This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to their content, it includes some open questions, as well as complements to the results of the previous papers.

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  1. El mar que envuelve a las piedras: espacios de Stone, profinitos y su papel en la aritm\'etica contempor\'anea

    math.GN 2025-11 unverdicted

    A review of Stone duality, profinite spaces, and condensed mathematics that asserts profinite spaces are the generators of the condensed category; it is expository only and contains several mathematical inaccuracies.

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