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VERSION:2.0
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20221107T154725Z
DTSTART:20221109T151500Z
DTEND:20221109T161500Z
SUMMARY:Logic seminar: Sebastian Eterovic (Leeds)
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}dkd-l9xi2dv
 r-mcdax7
DESCRIPTION:Title: Likely Intersections\n\nAbstract: The past few years h
 ave seen many important results in Diophantine geometry concerning unlik
 ely intersections\, and model theory has played a crucial role in this p
 rogress. In this talk I will introduce this topic and review some techni
 ques from model theory that by now have become standard in the area. The
  main result I will present is a strong counterpart to the Zilber-Pink c
 onjecture. Zilber-Pink predicts that if X is a proper subvariety of a sp
 ecial kind of variety S and X is not contained in a proper special subva
 riety of S\, then the union of the unlikely intersections of X with the 
 proper special subvarieties of S is not Zariski dense in X. We will see 
 that the likely intersections of X (which are defined in a slightly more
  delicate way than one might naively expect) are Euclidean dense in X. T
 his is joint work with Tom Scanlon.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1 (and zoom\, link in email)\, Alan Turing Building\
 , Manchester
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