Franziska Jahnke - Characterizing NIP henselian valued fields
| Dates: | 19 February 2020 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Franziska Jahnke |
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Franziska Jahnke joins us for the logic seminar.
Abstract: (Joint work with Sylvy Anscombe) In this talk we characterize NIP henselian valued fields modulo the theory of their residue
field. In particular, we show that every NIP henselian valued field satisfies some instance of the Ax-Kochen/Ersov principle. We then
discuss several consequences of the theorem, including a characterization of all NIP fields when one assumes the conjecture that every
infinite NIP field is either separably closed, real closed or admits a henselian valuation. We also discuss open questions arising from
these results.
Speaker
Franziska Jahnke
Organisation: University of Münster
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Frank Adams 1
Alan Turing Building
Manchester
