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Seminar

Pushing Anscombe-Jahnke Up The Ladder July 26, 2022 (02:15 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Blaise Boissonneau (Westfälische Wilhelms-Universität Münster)
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Pushing Anscombe-Jahnke Up The Ladder

Abstract/Media

Recently, Sylvy Anscombe and Franziska Jahnke classified NIP henselian valued fields down to their residue field, in a beautiful transfer theorem. The key ingredient of the proof is Artin-Schreier closure of NIP fields, which we will express via an explicit formula. NTP2 fields on the other hand are know to only have finitely many Artin-Schreier extensions. Expressing this fact via an explicit formula allows us to prove that NTP2 henselian valued fields are semitame or finitely ramified by parts, and give us some new methods to understand tame fields such as Fp((Q)).

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Pushing Anscombe-Jahnke Up The Ladder