Jan 27 2025

Louise Hay Logic Seminar: On O-Minimally Definable Groups and Fields, by Ryan Carpenter

January 27, 2025

3:00 PM - 3:50 PM

Location

612 SEO

Address

Chicago, IL

Ryan Carpenter (UIC): On O-Minimally Definable Groups and Fields

In his 1988 paper "On Groups and Fields Definable in o-Minimal Structures", Anand Pillay gives a characterization of groups definable in o-minimal structures by which they look like manifolds over the underlying o-minimal structure. He notes that the argument runs virtually unchanged for o-minimally definable fields, and he uses this to deduce that all o-minimally definable fields are either real or algebraically closed. In this talk, I will present the relevant background material on o-minimality as well as these three key results which highlight a way by which we may consider o-minimal structures as nice.

Please click here to make changes to, or delete, this seminar announcement.

Contact

Ryan Carpenter

Date posted

Feb 10, 2025

Date updated

Feb 10, 2025

Speakers