Old and new results in the model theory of finite fields

Abstract: Ax's determination of the first-order theory of finite fields in 1968 was the starting point of a rich chapter of model theory; highlights include the Denef-Loeser connection between definable sets over pseudo-finite fields and motives, their use in motivic integration, the Chatzidakis-Van den Dries-Macintyre measure theory, the strong Szemeredi regularity lemma for definable sets and applications to expansion due to Terry Tao. I will sketch a path through some of this material, aiming to touch on recent work of Levi and Chevalier on higher regularity, and on open problems that arise when an additive character is added to the structure.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.