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SUMMARY:Infinitely many rank 2 hyperelliptic curves [MPIM]
DTSTART:20260318T133000Z
DTEND:20260318T143000Z
DTSTAMP:20260420T160900Z
UID:indico-event-1142@math-events.uni-bonn.de
DESCRIPTION:Speakers: Stevan Gajovic (MPIM)\n\nNumber theory lunch seminar
 \nBased on the recent result of Peter Koymans and Adam Morgan\, who proved
  that there are infinitely many nonisomorphic hyperelliptic curves of any 
 genus whose Jacobian has rank 1 over any number field\, we prove the same 
 result for rank 2\; however\, our curves do not have simple Jacobians\, in
 stead they factor into two rank 1 Jacobians. We also discuss results about
  higher rank Jacobians of small genus curves. This is joint work with Sun 
 Woo Park.\n\nhttps://math-events.uni-bonn.de/event/1142/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1142/
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