The tilting equivalence as a bi-interpretation

2025/05/02 by Silvain Rideau-Kikuchi, Thomas Scanlon, Rideau-Kikuchi, Silvain +3
Mathematics · #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2505.01321

Abstract

We propose a model theoretic interpretation of the theorems about the equivalence between mixed characteristic perfectoid spaces and their tilts.

Citations

• Beyond the Fontaine-Wintenberger theorem
• An Introduction to Perfectoid Fields
• La conjecture du facteur direct
• La conjecture du facteur direct
• Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves
• Reconstruction of separably categorical metric structures
• Perfectoid spaces
• Perfectoid Spaces
• Model theoretic properties of metric valued fields

Related

• Perfectoid spaces
• Generalized tilting theory
• A criterion for perfectoid fields
• A theorem on support τ--tilting pairs
• Classical tilting and τ-tilting theory via duplicated algebras