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SUMMARY:Levent Alpoge (Harvard University)
DTSTART:20211209T223000Z
DTEND:20211209T233000Z
DTSTAMP:20260423T024723Z
UID:JNTS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/32/">A 
 "height-free" effective isogeny estimate for GL(2)-type abelian varieties<
 /a>\nby Levent Alpoge (Harvard University) as part of Columbia CUNY NYU nu
 mber theory seminar\n\n\nAbstract\nWe prove a ”height-free” effective 
 isogeny estimate for abelian varieties of GL(2)-type.\nMore precisely\, le
 t g ∈ Z\n+\, K a number field\, S a finite set of places of K\, and\nA\,
  B/K g-dimensional abelian varieties with good reduction outside S which a
 re\nK-isogenous and of GL(2)-type over $\\bar \\text{Q}$. We show that the
 re is a K-isogeny A → B\nof degree effectively bounded in terms of g\, K
 \, and S only.\nWe deduce an effective open image theorem for these abelia
 n varieties\, as well\nas an effective upper bound on the number of S-inte
 gral K-points on a Hilbert\nmodular variety\n
LOCATION:https://researchseminars.org/talk/JNTS/32/
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