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SUMMARY:Ariel Pacetti (University of Aveiro)
DTSTART:20210319T160000Z
DTEND:20210319T170000Z
DTSTAMP:20260423T041749Z
UID:QMULANTS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMULANTS/14/
 ">Modularity of abelian surfaces</a>\nby Ariel Pacetti (University of Avei
 ro) as part of Queen Mary University of London Algebra and Number Theory S
 eminar\n\n\nAbstract\nThe paramodular conjecture states a relation between
  rational abelian surfaces (without extra endomorphisms) and some siegel m
 odular forms. It is a generalization of the 1-dimensional case\, namely th
 e Shimura-Taniyama conjecture. In this talk I will explain the conjecture\
 , its relation to modularity of elliptic curves over quadratic fields\, th
 e state of the art of the conjecture and some mention some proven cases. I
 f time allows\, I will present a Bianchi newform over Q(\\sqrt{-7}) with r
 ational eigenvalues which is attached to an abelian surface over Q( √ 
 −7) (and explain its relation with the conjecture).\n
LOCATION:https://researchseminars.org/talk/QMULANTS/14/
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