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SUMMARY:Bianca Viray (University of Washington)
DTSTART:20200716T223000Z
DTEND:20200716T233000Z
DTSTAMP:20260422T054403Z
UID:SFUQNTAG/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/10/
 ">Isolated points on modular curves</a>\nby Bianca Viray (University of Wa
 shington) as part of SFU NT-AG seminar\n\n\nAbstract\nFaltings's theorem o
 n rational points on subvarieties of\nabelian varieties can be used to sho
 w that all but finitely many\nalgebraic points on a curve arise in familie
 s parametrized by $\\mathbb{P}^1$ or\npositive rank abelian varieties\; we
  call these finitely many\nexceptions isolated points.  We study how isola
 ted points behave under\nmorphisms and then specialize to the case of modu
 lar curves.  We show\nthat isolated points on $X_1(n)$ push down to isolat
 ed points on a\nmodular curve whose level is bounded by a constant that de
 pends only\non the j-invariant of the isolated point.  This is joint work 
 with A.\nBourdon\, O. Ejder\, Y. Liu\, and F. Odumodu.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/10/
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