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SUMMARY:The affine Chabauty method [MPIM]
DTSTART:20250625T123000Z
DTEND:20250625T133000Z
DTSTAMP:20260416T085900Z
UID:indico-event-507@math-events.uni-bonn.de
DESCRIPTION:Speakers: Marius Leonhardt (Universität Heidelberg)\n\nNumber
  theory lunch seminar\nGiven a hyperbolic curve $Y$ defined over the integ
 ers and a finite set of primes $S$\, the set of $S$-integral points $Y(\\m
 athbb{Z}_S)$ is finite by theorems of Siegel\, Mahler\, and Faltings. Dete
 rmining this set in practice is a difficult problem for which no general m
 ethod is known. In this talk I report on joint work in progress with Marti
 n Lüdtke in which we develop a Chabauty--Coleman method for finding $S$-i
 ntegral points on affine curves. We achieve this by bounding the image of 
 $Y(\\mathbb{Z}_S)$ in the Mordell--Weil group of the generalised Jacobian 
 using arithmetic intersection theory on a regular model.\n\nhttps://math-e
 vents.uni-bonn.de/event/507/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/507/
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