BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Allechar Serrano López (Harvard University)
DTSTART:20221101T203000Z
DTEND:20221101T213000Z
DTSTAMP:20260423T130646Z
UID:MITNT/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/60/">C
 ounting fields generated by points on plane curves</a>\nby Allechar Serran
 o López (Harvard University) as part of MIT number theory seminar\n\nLect
 ure held in Room 2-143 in the Simons Building (building 2).\n\nAbstract\nF
 or a smooth projective curve $C/\\mathbb{Q}$\, how many field extensions o
 f $\\mathbb{Q}$ -- of given degree and bounded discriminant --- arise from
  adjoining a point of $C(\\overline{\\mathbb{Q}})$? Can we further count t
 he number of such extensions with a specified Galois group? Asymptotic low
 er bounds for these quantities have been found for elliptic curves by Lemk
 e Oliver and Thorne\, for hyperelliptic curves by Keyes\, and for superell
 iptic curves by Beneish and Keyes. We discuss similar asymptotic lower bou
 nds that hold for all smooth plane curves $C$. This is joint work with Mic
 hael\, Allen\, Renee Bell\, Robert Lemke Oliver\, and Tian An Wong.\n
LOCATION:https://researchseminars.org/talk/MITNT/60/
END:VEVENT
END:VCALENDAR