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SUMMARY:Boya Wen (Princeton University)
DTSTART:20210521T220000Z
DTEND:20210521T230000Z
DTSTAMP:20260423T024725Z
UID:UCSBsga/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/24/"
 >A Gross-Zagier Formula for CM cycles over Shimura Curves</a>\nby Boya Wen
  (Princeton University) as part of UCSB Seminar on Geometry and Arithmetic
 \n\n\nAbstract\nIn this talk I will introduce my thesis work (in preparati
 on) to prove a Gross-Zagier formula for CM cycles over Shimura curves. The
  formula connects the global height pairing of special cycles in Kuga vari
 eties over Shimura curves with the derivatives of the L-functions associat
 ed to weight-2k modular forms. As a key original ingredient of the proof\,
  I will introduce some harmonic analysis on local systems over graphs\, in
 cluding an explicit construction of Green's function\, which we apply to c
 ompute some local intersection numbers.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/24/
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