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SUMMARY:Michael Stoll (Universität Bayreuth)
DTSTART:20250311T203000Z
DTEND:20250311T213000Z
DTSTAMP:20260423T125522Z
UID:MITNT/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/111/">
 Conjectural asymptotics of prime orders of points on elliptic  curves over
  number fields</a>\nby Michael Stoll (Universität Bayreuth) as part of MI
 T number theory seminar\n\nLecture held in Room 2-449 in the Simons Buildi
 ng (building 2).\n\nAbstract\nDefine\, for a positive integer $d$\, $S(d)$
  to be the set of all primes \n$p$ that occur as the order of a point $P \
 \in E(K)$ on an elliptic curve \n$E$ defined over a number field $K$ of de
 gree $d$. We discuss how some \nplausible conjectures on the sparsity of n
 ewforms with certain \nproperties would allow us to deduce a fairly precis
 e result on the \nasymptotic behavior of $\\max S(d)$ as $d$ tends to infi
 nity.\n\nThis is joint work with Maarten Derickx.\n
LOCATION:https://researchseminars.org/talk/MITNT/111/
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