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SUMMARY:Marius Leonhardt (Boston University)
DTSTART:20250908T200000Z
DTEND:20250908T210000Z
DTSTAMP:20260423T040624Z
UID:NTBU/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/26/">Th
 e affine Chabauty method</a>\nby Marius Leonhardt (Boston University) as p
 art of Boston University Number Theory Seminar\n\nLecture held in CDS Room
  548 in Boston University.\n\nAbstract\nGiven a hyperbolic curve $Y$ defin
 ed over the integers and a finite set of primes $S$\, the set of $S$-integ
 ral points $Y(\\mathbb{Z}_S)$ is finite by theorems of Siegel\, Mahler\, a
 nd Faltings. Determining this set in practice is a difficult problem for w
 hich no general method is known. In this talk I report on joint work in pr
 ogress with Martin Lüdtke in which we develop a Chabauty--Coleman method 
 for finding $S$-integral points on affine curves. We achieve this by bound
 ing the image of $Y(\\mathbb{Z}_S)$ in the Mordell--Weil group of the gene
 ralised Jacobian using arithmetic intersection theory on a regular model.\
 n
LOCATION:https://researchseminars.org/talk/NTBU/26/
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