The model theory of perfectoid fields [after Jahnke and Kartas]

Abstract

This text was written to support a Bourbaki seminar given in January 2026 on the subject of the model theory of perfectoid fields, especially on the work of Jahnke and Kartas in their paper "Beyond the Fontaine-Wintenberger theorem", J. Amer. Math. Soc. 38 (4), pp. 997-1047, 2025.

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