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SUMMARY:Ehud Hrushovski (University of Oxford)
DTSTART:20220120T113000Z
DTEND:20220120T123000Z
DTSTAMP:20260423T021328Z
UID:ZAG/179
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/179/">Ol
 d and new results in the model theory of finite fields</a>\nby Ehud Hrusho
 vski (University of Oxford) as part of ZAG (Zoom Algebraic Geometry) semin
 ar\n\n\nAbstract\nAx'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 ov
 er pseudo-finite fields and motives\, their use  in motivic integration\, 
   the Chatzidakis-Van den Dries-Macintyre measure theory\,  the strong Sze
 meredi regularity lemma for definable sets and applications to expansion d
 ue to Terry Tao.   I will sketch a path through some of this material\, ai
 ming 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.\n
LOCATION:https://researchseminars.org/talk/ZAG/179/
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