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SUMMARY:Brian Lawrence (UCLA)
DTSTART:20220110T230000Z
DTEND:20220110T235000Z
DTSTAMP:20260423T024800Z
UID:UCLA_NTS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/41/
 ">Sparsity of Integral Points on Moduli Spaces of Varieties</a>\nby Brian 
 Lawrence (UCLA) as part of UCLA Number Theory Seminar\n\n\nAbstract\nInter
 esting moduli spaces don't have many integral points. More precisely\, if 
 X is a variety over a number field\, admitting a variation of Hodge struct
 ure whose associate period map is injective\, then the number of S-integra
 l points on X of height at most H grows more slowly than H^{\\epsilon}\, f
 or any positive \\epsilon. This is a sort of weak generalization of the Sh
 afarevich conjecture\; it is a consequence of a point-counting theorem of 
 Broberg\, and the largeness of the fundamental group of X. Joint with Elle
 nberg and Venkatesh.\n\nhttps://arxiv.org/abs/2109.01043\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/41/
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