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SUMMARY:Padmavathi Srinivasan (Boston University)
DTSTART:20240416T203000Z
DTEND:20240416T213000Z
DTSTAMP:20260423T125705Z
UID:MITNT/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/92/">A
  canonical algebraic cycle associated to a curve in its Jacobian</a>\nby P
 admavathi Srinivasan (Boston University) as part of MIT number theory semi
 nar\n\nLecture held in Room 2-449 in the Simons Building (building 2).\n\n
 Abstract\nThe Ceresa cycle is a canonical homologically trivial algebraic 
 cycle associated to a curve in its Jacobian. In his 1983 thesis\, Ceresa s
 howed that this cycle is algebraically nontrivial for the generic curve ov
 er genus at least 3. Strategies for proving Fermat curves have infinite or
 der Ceresa cycles due to B. Harris\, Bloch\, Bertolini-Darmon-Prasanna\, E
 skandari-Murty use a variety of ideas ranging from computation of explicit
  iterated period integrals\, special values of p-adic L functions and poin
 ts of infinite order on the Jacobian of Fermat curves. We will survey many
  recent results around the Ceresa cycle\, and present ongoing work with Jo
 rdan Ellenberg\, Adam Logan and Akshay Venkatesh where we produce many new
  explicit examples of curves over number fields with infinite order Ceresa
  cycles.\n
LOCATION:https://researchseminars.org/talk/MITNT/92/
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