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SUMMARY:Sachi Hashimoto (Boston University)
DTSTART:20200810T170000Z
DTEND:20200810T173000Z
DTSTAMP:20260423T021222Z
UID:POINT/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/12/">C
 omputing rational points on databases of curves</a>\nby Sachi Hashimoto (B
 oston University) as part of POINT: New Developments in Number Theory\n\n\
 nAbstract\nFor a curve of genus at least $2$\, we know from Faltings's the
 orem that its set of rational points is finite. A major challenge is to pr
 ovably determine\, for a given curve\, this set of rational points. One pr
 omising method is the Chabauty-Coleman method\, which uses $p$-adic (Colem
 an) integrals to compute a finite set of p-adic points on the curve includ
 ing the rational points. We will discuss computations using the Chabauty-C
 oleman method to provably determine rational point sets for databases of c
 ertain genus $3$ superelliptic curves. This is joint work with Maria de Fr
 utos Fernandez and Travis Morrison.\n\nPlease register for the talks on Au
 gust 10 here:\nhttps://fordham.zoom.us/meeting/register/tJwpde2srTgqHdYG6N
 Mu5WmgzPiDnNJQMTsM\n
LOCATION:https://researchseminars.org/talk/POINT/12/
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