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SUMMARY:Qiao He (Columbia University)
DTSTART:20250523T013000Z
DTEND:20250523T023000Z
DTSTAMP:20260423T021900Z
UID:CUHKNT/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CUHKNT/2/">H
 eight pairing on Shimura curve revisited and a general conjecture for GSpi
 n Shimura varieties</a>\nby Qiao He (Columbia University) as part of CUHK 
 Number Theory Online Seminar\n\n\nAbstract\nIn their paper "Height pairing
 s on Shimura curves and p-adic uniformization" (Invent\, 2000)\, Kudla and
  Rapoport studied intersections of special cycles on Shimura curves and re
 lated it with derivative of Eisenstein series\, which is one of the key in
 gredient to prove arithmetic inner product formula for Shimura curves (a v
 ariant/generalization of Gross-Zagier formula). In this talk\, we will rev
 isit Kudla and Rapoport's formula by incorporating it into a general conje
 cture for the GSpin Shimura variety. As evidence of the conjecture\, we al
 so discuss the proof for the self product of Shimura curves case. This is 
 a joint work with Baiqing Zhu.\n\nMeeting ID 988 4193 7996\n\nPassword 097
 741\n
LOCATION:https://researchseminars.org/talk/CUHKNT/2/
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