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SUMMARY:Wanlin Li (MIT)
DTSTART:20200929T210000Z
DTEND:20200929T220000Z
DTSTAMP:20260423T005813Z
UID:UAANTS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/2/">T
 he Ceresa class: tropical\, topological\, and algebraic</a>\nby Wanlin Li 
 (MIT) as part of University of Arizona Algebra and Number Theory Seminar\n
 \n\nAbstract\nThe Ceresa cycle is an algebraic cycle attached to a smooth 
 algebraic curve\, which is trivial in the Chow ring when the curve is hype
 relliptic. Its image under a cycle class map provides a class in étale co
 homology called the Ceresa class. There are few examples where the Ceresa 
 class is known for non-hyperelliptic curves. We explain how to define a Ce
 resa class for a tropical algebraic curve\, and also for a Riemann surface
  endowed with a multiset of commuting Dehn twists (where it is related to 
 the Morita cocycle on the mapping class group). Finally\, we explain how t
 hese are related to the Ceresa class of a smooth algebraic curve over C((t
 ))\, and show that in this setting the Ceresa class is torsion.​\n
LOCATION:https://researchseminars.org/talk/UAANTS/2/
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