Logic Seminar - Charlotte Bartnick
| Dates: | 25 March 2026 |
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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: Charlotte Bartnick (Universität Freiburg)
Title: Definable groups in differentially closed fields of positive characteristic
Abstract: Definable groups in theories of fields can often be described in terms of algebraic groups. For example, by a result of Pillay, every definable group in a differentially closed field of characteristic 0 embeds into an algebraic group.
In this talk, we show that the same holds true for definable groups in differentially closed fields of positive characteristic, following a strategy of Bouscaren and Delon. Before outlining the proof, we will first introduce the theory of differentially closed fields of positive characteristic and the properties that are used in the proof. If time permits, we will also discuss how the result can be used to characterize definable fields.
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Frank Adams 1
Alan Turing Building
Manchester
