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SUMMARY:Boya Wen (Princeton)
DTSTART:20201201T000000Z
DTEND:20201201T005000Z
DTSTAMP:20260423T022935Z
UID:UCLA_NTS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/18/
 ">A Gross-Zagier Formula for CM cycles over Shimura Curves</a>\nby Boya We
 n (Princeton) as part of UCLA Number Theory Seminar\n\n\nAbstract\nIn this
  talk I will introduce my thesis work in progress to prove a Gross-Zagier 
 formula for CM cycles over Shimura curves. The formula connects the global
  height pairing of special cycles in Kuga varieties over Shimura curves wi
 th the derivatives of the $L$-functions associated to weight-$2k$ modular 
 forms. As a key original ingredient of the proof\, I will introduce some h
 armonic analysis on local systems over graphs\, including an explicit cons
 truction of Green's function\, which we apply to compute some local inters
 ection numbers.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/18/
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