Perfectoid Spaces

Scholze's perfectoid spaces and the tilting equivalence.


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Perfectoid Spaces. Scholze’s perfectoid spaces and the tilting equivalence.

Supporting and adjacent work

A number of supporting contributions sharpen specific aspects of perfectoid spaces or connect it to neighbouring problems. Perfectoid spaces (Scholze, 2012) contributes to this area as one of the supporting references that inform current practice.

Open methodological questions for perfectoid spaces include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

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