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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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