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SUMMARY:Naomi Sweeting (MIT)
DTSTART:20261026T200000Z
DTEND:20261026T210000Z
DTSTAMP:20261025T111746Z
UID:NTBU/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/57/">No
 ntrivial Ceresa and modified diagonal classes via semistable reduction</a>
 \nby Naomi Sweeting (MIT) as part of Boston University Number Theory Semin
 ar\n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\nThe 
 Ceresa class is a canonical\, cohomologically trivial algebraic cycle on t
 he Jacobian of a curve. Modified diagonal classes are closely related\, an
 d almost equivalent\, algebraic cycles defined on the triple product of th
 e curve with itself. These canonical cycles are known to be non-torsion in
  the Chow group for sufficiently general curves\, but the proof is not exp
 licit. It is therefore interesting to ask for which curves these cycles ar
 e non-torsion.\n\nThis talk is about joint work with Ari Shnidman\, in whi
 ch we calculate the ramification of an l-adic Abel-Jacobi image of a modif
 ied diagonal class for any semistable curve over a finite extension of Z_p
 . The calculation is in terms of purely combinatorial data on the special 
 fiber. As an application\, we are able to give new and explicit conditions
  under which a curve over a number field has nonzero or nontorsion Ceresa 
 class.\n
LOCATION:https://researchseminars.org/talk/NTBU/57/
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