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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

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Kummer pro-\'etale cohomology of $\mathbb B_{\operatorname{dR}}$

    math.NT 2025-01 conditional novelty 6.0 of 10

    For log smooth rigid analytic varieties, Kummer pro-étale B_dR cohomology is isomorphic to log de Rham cohomology, and logarithmic B_dR^+ cohomology gives degeneration of Hodge-Tate and Hodge-log de Rham spectral sequ...

  2. 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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