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UID:5789@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230119T110000
DTEND;TZID=Europe/Paris:20230119T120000
DTSTAMP:20241120T200218Z
URL:https://www.i2m.univ-amu.fr/evenements/families-of-jacobians-with-quat
 ernionic-multiplication/
SUMMARY:Davide Lombardo (Universitá di Pisa): Families of Jacobians with q
 uaternionic multiplication
DESCRIPTION:Davide Lombardo: \n\nIn joint work with Victoria Cantoral-Farf
 án and John Voight we investigate explicit families of even-dimensional J
 acobians defined over Q and admitting an action of the quaternion group. T
 hese abelian varieties are unusual in several ways: for example\, the ring
  of their algebraic cycles is not generated by divisor classes\, a fact wh
 ich has consequences both on their arithmetic and on their geometry.\nWe p
 rove that 100% of the members of the families we consider satisfy the Hodg
 e\, Tate and Mumford-Tate conjectures\, and provide explicit generators fo
 r their Hodge rings. As a consequence\, we show that\, for every even dime
 nsion greater than 2\, there exist infinitely many abelian varieties A suc
 h that the minimal field of definition of the endomorphisms and the minima
 l field over which the Galois representations attached to A have connected
  image are different.\n\n\n\n\n\n\n\n\n\nSite : https://sites.google.com
 /view/samuele-anni/home/s%C3%A9minaire-ati?authuser=0\n\n[su_spacer size="
 10"]\nRendez-vous 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/Davide_Lombardo.png
CATEGORIES:Séminaire,Arithmétique et Théorie de l’Information
LOCATION:Luminy\, Campus des Sciences de Luminy\, Marseille\, 13009\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Campus des Sciences de Lumi
 ny\, Marseille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy:geo:0,0
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DTSTART:20221030T020000
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