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UID:news1795@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250218T093546
DTSTART;TZID=Europe/Zurich:20250220T161500
SUMMARY:Doktoratskolloquium Mathematik: Marta Dujella
DESCRIPTION:Counting points of bounded height on abelian varieties defined 
 over number fields is a well-studied problem in arithmetic geometry. A cla
 ssical result of Néron describes asymptotical behavior for this counting 
 problem\, with dependence on the Mordell-Weil rank of the abelian variety.
  In this talk\, we'll present the problem of achieving uniform bounds in t
 his setting. Particularly\, we consider two special cases in which we are 
 able to reach uniformity. In the first part\, we consider the one-dimensio
 nal case\, that of elliptic curves.
X-ALT-DESC:<p>Counting points of bounded height on abelian varieties define
 d over number fields is a well-studied problem in arithmetic geometry. A c
 lassical result of Néron describes asymptotical behavior for this countin
 g problem\, with dependence on the Mordell-Weil rank of the abelian variet
 y. In this talk\, we'll present the problem of achieving uniform bounds in
  this setting. Particularly\, we consider two special cases in which we ar
 e able to reach uniformity. In the first part\, we consider the one-dimens
 ional case\, that of elliptic curves.</p>
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