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UID:7222@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20181016T100600
DTEND;TZID=Europe/Paris:20181016T110600
DTSTAMP:20241120T203454Z
URL:https://www.i2m.univ-amu.fr/evenements/cyclicity-of-the-rational-point
 s-group-of-abelian-varieties-over-finite-fields/
SUMMARY:Alejandro Giangreco (I2M\, Aix-Marseille Université): Cyclicity of
  the rational points group of abelian varieties over finite fields
DESCRIPTION:Alejandro Giangreco: The group of rational points of an abelian
  variety defined over a finite field is a finite abelian group and it has 
 a theoretical and practical interest\, for example in cryptography\, where
  the discrete logarithm problem can be exploited. In this talk I give some
  statistical results on the fraction of "cyclic isogeny classes" of abelia
 n varieties (i.e. those isogeny classes where all the varieties have a cyc
 lic group of rational points). With this purpose I start by giving some cr
 iteria to know if an abelian variety is "cyclic"\, i.e. it has a cyclic gr
 oup of rational points.\n-\nReference: https://arxiv.org/abs/1806.10842\n-
 \n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Alejandro_Giangreco_Maidana.jpg
CATEGORIES:Séminaire,Arithmétique et Théorie de l’Information
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DTSTART:20180325T030000
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