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SUMMARY:Conjectural asymptotics of prime orders of points on elliptic curv
 es over number fields [MPIM]
DTSTART:20250122T133000Z
DTEND:20250122T143000Z
DTSTAMP:20260420T162200Z
UID:indico-event-200@math-events.uni-bonn.de
DESCRIPTION:Speakers: Michael Stoll (Universität Bayreuth)\n\nNumber theo
 ry lunch seminar\nDefine\, for a positive integer $d$\, $S(d)$ to be the s
 et of all primes $p$ that occur as the order of a point $P \\in E(K)$ on a
 n elliptic curve $E$ defined over a number field $K$ of degree $d$. We dis
 cuss how some plausible conjectures on the sparsity of newforms with certa
 in properties would allow us to deduce a fairly precise result on the asym
 ptotic behavior of $\\max S(d)$ as $d$ tends to infinity.\nThis is joint w
 ork with Maarten Derickx. \n\nhttps://math-events.uni-bonn.de/event/200/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/200/
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