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SUMMARY:Congling Qiu (Yale Univ.)
DTSTART:20210406T210000Z
DTEND:20210406T220000Z
DTSTAMP:20260423T024752Z
UID:UAANTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/16/">
 Modularity and Heights of CM cycles on Kuga-Sato varieties</a>\nby Conglin
 g Qiu (Yale Univ.) as part of University of Arizona Algebra and Number The
 ory Seminar\n\n\nAbstract\nWe study CM cycles on Kuga-Sato varieties over 
 X(N).  Our first result is the modularity of the unramified  Hecke module 
 generated by  CM cycles. This result enable us to decompose the space of C
 M cycles according to the unramified  Hecke action. Our second result is t
 he full modularity of all CM cycles in the components of representations w
 ith vanishing central (base change) L-values. Finally\, we prove a higher 
 weight analog of the general Gross-Zagier formula of Yuan\, S. Zhang and W
 . Zhang.\n
LOCATION:https://researchseminars.org/talk/UAANTS/16/
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