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SUMMARY:Jerson Caro (Boston University)
DTSTART:20231003T203000Z
DTEND:20231003T213000Z
DTSTAMP:20260423T130130Z
UID:MITNT/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/78/">A
  Chabauty-Coleman bound for surfaces</a>\nby Jerson Caro (Boston Universit
 y) as part of MIT number theory seminar\n\nLecture held in Room 2-449 in t
 he Simons Building (building 2).\n\nAbstract\nA celebrated result of Colem
 an gives a completely explicit version of Chabauty's finiteness theorem fo
 r rational points in curves over a number field\, by a study of zeros of p
 -adic analytic functions. \nAfter several developments around this result\
 , the problem of proving an analogous explicit bound for higher dimensiona
 l subvarieties of abelian varieties remains elusive. In this talk\, I'll s
 ketch the proof of such a bound for surfaces contained in abelian varietie
 s. This is a joint work with Hector Pasten.\n\nIn addition\, I'll present 
 an application of this method to give an upper bound for the number of une
 xpected quadratic points of hyperelliptic curves of genus 3 defined over $
 \\mathbb{Q}$. This is a joint work in progress with Jennifer Balakrishnan.
 \n
LOCATION:https://researchseminars.org/talk/MITNT/78/
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