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SUMMARY:Brian Lawrence (UCLA)
DTSTART:20220428T210000Z
DTEND:20220428T220000Z
DTSTAMP:20260423T024648Z
UID:UCSD_NTS/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/61/
 ">Sparsity of Integral Points on Moduli Spaces of Varieties</a>\nby Brian 
 Lawrence (UCLA) as part of UCSD number theory seminar\n\nLecture held in A
 PM 6402 and online.\n\nAbstract\nInteresting moduli spaces don't have many
  integral points.  More precisely\, if X is a variety over a number field\
 , admitting a variation of Hodge structure whose associate period map is i
 njective\, then the number of S-integral points on X of height at most H g
 rows more slowly than H^{\\epsilon}\, for any positive \\epsilon.  This is
  a sort of weak generalization of the Shafarevich conjecture\; it is a con
 sequence of a point-counting theorem of Broberg\, and the largeness of the
  fundamental group of X.  Joint with Ellenberg and Venkatesh.\n\npre-talk 
 at 1:20pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/61/
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