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Scholze: perfectoid spaces

Contribution grade

Algebra · THEORY

Reference score365,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Built perfectoid rings and spaces and a tilting correspondence, yielding almost-purity and stated weight-monodromy cases.

Scientific scope

The record is Scholze's sole-author 2012 paper. Claims remain within the definitions and hypotheses developed there; later perfectoid developments, diamonds, applications by other authors and the entire p-adic Langlands program remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Scholze's sole-author 2012 paper. Claims remain within the definitions and hypotheses developed there; later perfectoid developments, diamonds, applications by other authors and the entire p-adic Langlands program remain separate.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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