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UID:5896@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221103T120000
DTEND;TZID=Europe/Paris:20221103T130000
DTSTAMP:20241120T200650Z
URL:https://www.i2m.univ-amu.fr/evenements/distribution-of-genus-numbers-o
 f-abelian-number-fields/
SUMMARY:Rachel Newton (King's College London): Distribution of genus number
 s of abelian number fields
DESCRIPTION:Rachel Newton: Let K be a number field and let L/K be an abelia
 n extension. The genus field of L/K is the largest extension of L which is
  unramified at all places of L and abelian as an extension of K. The genu
 s group is its Galois group over L\, which is a quotient of the class grou
 p of L\, and the genus number is the size of the genus group. We study the
  quantitative behaviour of genus numbers as one varies over abelian exten
 sions L/K with fixed Galois group. We give an asymptotic formula for the a
 verage value of the genus number and show that any given genus number app
 ears only 0% of the time. This is joint work with Christopher Frei and Dan
 iel Loughran.\n \n\n\nSite : \nhttps://sites.google.com/view/samuele-an
 ni/home/s%C3%A9minaire-ati?authuser=0\n\n[su_spacer size="10"]\nRendez-vou
 s à côté de la machine à café au rez-de-chaussée de l'ancienne BU.\n
 [su_spacer size="10"]\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/09/Rachel_Newton.png
CATEGORIES:Séminaire,Arithmétique et Théorie de l’Information
LOCATION:Luminy\, Campus des Sciences de Luminy\, Marseille\, 13009\, Franc
 e
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 ny\, Marseille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy:geo:0,0
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