Louise Hay Logic Seminar: On O-Minimally Definable Groups and Fields, by Ryan Carpenter
January 27, 2025
3:00 PM - 3:50 PM
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.
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Date posted
Feb 10, 2025
Date updated
Feb 10, 2025
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