Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Pushing Anscombe-Jahnke Up The Ladder
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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