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UID:news1739@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20241018T121606
DTSTART;TZID=Europe/Zurich:20241024T141500
SUMMARY:Number Theory Seminar: Michael Stoll (Universität Bayreuth)
DESCRIPTION:Titel: Conjectural asymptotics of prime orders of points on ell
iptic curves over number fields Abstract: Define\, for a positive integer
~$d$\, $S(d)$ to be the set of all primes $p$ that occur as the order of a
point $P \\in E(K)$ on an elliptic curve $E$ defined over a number field
$K$ of degree $d$. We discuss how some plausible conjectures on the sparsi
ty of newforms with certain properties would allow us to deduce a fairly p
recise result on the asymptotic behavior of $\\max S(d)$ as $d$ tends to i
nfinity. This is joint work with Maarten Derickx.\\r\\nLocation: Spiegelg
asse 5\, Seminarraum 05.002
X-ALT-DESC:Titel: Conjectural asymptotics of prime orders of points on e
lliptic curves over number fields
Abstract: Define\, for a po
sitive integer~$d$\, $S(d)$ to be the set of all primes $p$ that occur as
the order of a point $P \\in E(K)$ on an elliptic curve $E$ defined over a
number field $K$ of degree $d$. We discuss how some plausible conjectures
on the sparsity of newforms with certain properties would allow us to ded
uce a fairly precise result on the asymptotic behavior of $\\max S(d)$ as
$d$ tends to infinity.
This is joint work with Maarten Derick
x.
\nLocation: Spiegelgasse 5\, Seminarraum 05.002
DTEND;TZID=Europe/Zurich:20241024T151500
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