Charlotte Bartnick:
Definable groups in differentially closed fields of positive characteristic
Time and place
Tuesday, 1.7.25, 14:30-16:00, Seminarraum 404
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 positive characteristic. In fact, methods used by Delon and Bouscaren to describe groups in separably closed fields of finite degree of imperfection can be generalized to several theories of fields in positive characteristic with extra structure. Before outlining the proof for differentially closed fields of positive characteristic, we will first introduce the theory and the properties that are used in the proof.