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SUMMARY:Hector Pasten (PUC Chile)
DTSTART:20201002T143000Z
DTEND:20201002T160000Z
DTSTAMP:20260423T004637Z
UID:CAFAS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/4/">A 
 Chabauty-Coleman estimate for surfaces in abelian threefolds</a>\nby Hecto
 r Pasten (PUC Chile) as part of Columbia Automorphic Forms and Arithmetic 
 Seminar\n\n\nAbstract\nColeman's explicit version of Chabauty's theorem gi
 ves a remarkable upper bound for the number of rational points in hyperbol
 ic curves over number fields\, under a certain rank condition. This result
  is obtained by p-adic methods. Despite considerable efforts in this topic
 \, higher dimensional extensions of such a bound have remained elusive. In
  this talk I will sketch the proof for hyperbolic surfaces contained in ab
 elian threefolds\, which provides the first case beyond the scope of curve
 s. This is joint work with Jerson Caro.\n
LOCATION:https://researchseminars.org/talk/CAFAS/4/
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