Charlotte Bartnick - Definable groups in differentially closed fields of positive characteristic

jeudi 23 avr. 2026, 15:00 → 16:00 Europe/Paris

112 (ICJ)

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 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.