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SUMMARY:Congling Qiu (Yale)
DTSTART:20220205T220000Z
DTEND:20220205T230000Z
DTSTAMP:20260423T005823Z
UID:SCNTD2022/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SCNTD2022/3/
 ">Injectivity of the Abel-Jacobi map and Gross-Kudla-Schoen cycles</a>\nby
  Congling Qiu (Yale) as part of Southern California Number Theory Day\n\nL
 ecture held in APM 6402 and online.\n\nAbstract\nOn the triple product of 
 a quaternionic Shimura curve over a totally real field\, the injectivity o
 f the Abel-Jacobi map implies an automorphic decomposition of the Chow gro
 ups. Then Prasad's theorem on trilinear forms implies the vanishing of the
  isotypic component of the Gross-Kudla-Schoen modified diagonal cycle with
  a certain local root number. We define such a decomposition unconditional
 ly and prove the vanishing. This is a special case of some general results
 .\n
LOCATION:https://researchseminars.org/talk/SCNTD2022/3/
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