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BEGIN:VEVENT
DTSTAMP:20230502T083734Z
DTSTART:20230510T141500Z
DTEND:20230510T151500Z
SUMMARY:Jinhe Ye (Oxford)
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}r1fn-lh60nt
 h8-fmn3oc
DESCRIPTION:Title: Curve-excluding fields.\n\nAbstract: Given $C$ a curve
  over $\\mathbb{Q}$ with genus at least 2 and $C(\\mathbb{Q})$ is empty\
 , the class of fields $K$ of characteristic 0 such that $C(K)=\\emptyset
 $ has a model companion\, which we call CXF. Models of CXF have interest
 ing combinations of properties. For example\, they provide an example of
  a model-complete field with unbounded Galois group\, answering a questi
 on of Macintyre negatively. One can also construct a model of it with a 
 decidable first-order theory that is not "large'' in the sense of Pop. A
 lgebraically\, it provides a field that is algebraically bounded but not
  ``very slim'' in the sense of Junker and Koenigsmann. Model theoretical
 ly\, we find a pure field that is strictly $NSOP_4$.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1 (and zoom\, link in email)\, Alan Turing Building\
 , Manchester
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