Angus Matthews (University of Leeds) – The Structure of Pregeometric Fields
- Date
- @ MALL 2, 14:00
- Location
- MALL 2
- Notes
- Unusual location
- Speaker
- Angus Matthews
- Affiliation
- University of Leeds
- Category
- Model Theory
Notes: Unusual location.
Abstract: A pregeometric theory of fields is a theory T expanding ACF such that the model-theoretic algebraic closure acl satisfies the exchange property. Several important theories of fields satisfy this property, like ACF, RCF, ACVF, etc. Certain pregeometric fields have the additional property that we can expand the language with a generic derivation. We will discuss the structural implications of pregeometricness, and what we mean by a 'generic derivation'. Joint work with Antongiulio Fornasiero and Elliot Kaplan.