BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Brian Lawrence (University of Chicago)
DTSTART:20200915T203000Z
DTEND:20200915T213000Z
DTSTAMP:20260423T125522Z
UID:MITNT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/7/">Th
 e Shafarevich conjecture for hypersurfaces in abelian varieties</a>\nby Br
 ian Lawrence (University of Chicago) as part of MIT number theory seminar\
 n\n\nAbstract\nLet K be a number field\, S a finite set of primes of O_K\,
  and g a positive integer.  Shafarevich conjectured\, and Faltings proved\
 , that there are only finitely many curves of genus g\, defined over K and
  having good reduction outside S.  Analogous results have been proven for 
 other families\, replacing "curves of genus g" with "K3 surfaces"\, "del P
 ezzo surfaces" etc.\; these results are also called Shafarevich conjecture
 s.  There are good reasons to expect the Shafarevich conjecture to hold fo
 r many families of varieties: the moduli space should have only finitely m
 any integral points.\n\nWill Sawin and I prove this for hypersurfaces in a
 belian varieties of dimension not equal to 3.\n
LOCATION:https://researchseminars.org/talk/MITNT/7/
END:VEVENT
END:VCALENDAR