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Title: Differentially Henselian Fields
Abstract: We say that a valued-differential field is differentially henselian if it is henselian as a pure valued field and satisfies a certain ‘differential lifting’ property. We will look at these fields in the context of differential largeness, which is a notion for differential fields which eneralises ‘large’ or ‘ample’ fields. In this talk, we will begin with a brief review of the background on henselian valued fields and differential argeness; then we will exhibit a number of results that can be lifted from henselian fields to differentially henselian fields via an embedding theorem, including various forms of the Ax-Kochen-Ershov principle, and stable embeddedness results.
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We will meet for coffee and tea at 3:15pm in the Huxley 5th floor common room and go to the pub and dinner after the seminar.