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SUMMARY:Jerson Caro (Boston University)
DTSTART:20251006T200000Z
DTEND:20251006T210000Z
DTSTAMP:20260423T040548Z
UID:NTBU/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/30/">On
  the Visibility category of elements in the Shafarevich-Tate group</a>\nby
  Jerson Caro (Boston University) as part of Boston University Number Theor
 y Seminar\n\nLecture held in CDS Room 548 in Boston University.\n\nAbstrac
 t\nGiven an elliptic curve over Q and a nontrivial element sigma of its Sh
 afarevich--Tate group Sha(E)\, we introduce the *Visualization category* o
 f abelian varieties that ``visualize'' sigma\, in the sense of Cremona--Ma
 zur\, and we study minimal objects in this category\, furnishing examples 
 of their nonuniqueness. In particular\, we show that there can be several 
 minimal visualizing abelian varieties of different dimensions\, answering 
 a question of Mazur. This is joint work with Barinder Banwait and Shiva Ch
 idambaram.\n
LOCATION:https://researchseminars.org/talk/NTBU/30/
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