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Heike Harenbrock

Oberseminar Modelltheorie und Gruppen: Konstantinos Kartas (IMJ-PRG/Sorbonne Université): Part I: A model-theoretic Fontaine-Wintenberger theorem

Thursday, 03.11.2022 11:00 im Raum SR 1D

Mathematik und Informatik

This is a series of two talks based on upcoming joint work with F. Jahnke, where we establish certain connections between perfectoid geometry and model theory of henselian fields. In the first part, we present a model-theoretic generalization of the Fontaine-Wintenberger theorem. This reveals an abundance of elementary statements whose truth value is transferable between a perfectoid field and its tilt. A key ingredient in the proof is an Ax-Kochen/Ershov principle for perfectoid fields (and generalizations thereof).



Angelegt am 27.10.2022 von Heike Harenbrock
Geändert am 27.10.2022 von Heike Harenbrock
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