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SUMMARY:Valentijn Karemaker (Universiteit Utrecht)
DTSTART:20210426T111500Z
DTEND:20210426T121500Z
DTSTAMP:20260423T041526Z
UID:WarsawNT/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/29/
 ">Polarisations of abelian varieties over finite fields via canonical lift
 ings</a>\nby Valentijn Karemaker (Universiteit Utrecht) as part of Warsaw 
 Number Theory Seminar\n\nLecture held in currently online.\n\nAbstract\nIn
  this talk we will give a widely applicable and computable description of 
 polarisations of abelian varieties over finite field. More precisely\, we 
 will describe all polarisations of all abelian varieties over a finite fie
 ld in a fixed isogeny class corresponding to a squarefree Weil polynomial\
 , when one variety in the isogeny class admits a canonical lifting to char
 acteristic zero. The computability of the description relies on applying c
 ategorical equivalences between abelian varieties over finite fields and f
 ractional ideals in étale algebras. \nThis is joint work with Jonas Bergs
 tröm and Stefano Marseglia.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/29/
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