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BEGIN:VEVENT
SUMMARY:Jiacheng Xia (Laval)
DTSTART:20211015T190000Z
DTEND:20211015T200000Z
DTSTAMP:20260423T021418Z
UID:ANTULaval/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTULaval/5/
 ">Modularity of generating functions of special cycles on unitary Shimura 
 varieties</a>\nby Jiacheng Xia (Laval) as part of Algebra and Number Theor
 y Seminars at Université Laval\n\nLecture held in VCH2820.\n\nAbstract\nS
 pecial cycles on orthogonal and unitary Shimura varieties are analogues of
  Heegner points on modular curves in higher dimensions. Following work of 
 Hirzebruch--Zagier\, Gross--Zagier\, Gross--Keating\, and Kudla--Millson\,
  Kudla predicted the modularity of generating functions of these special c
 ycles in the 1990s. \n\nI will review some historic development of this co
 njecture\, and summarize recent results built upon earlier work of Borcher
 ds and Zhang. I will also talk about arithmetic applications\, especially 
 the recent work of Li--Liu on arithmetic inner product formula. Time permi
 tting\, I will sketch the method of Bruinier--Raum and discuss its scope.\
 n
LOCATION:https://researchseminars.org/talk/ANTULaval/5/
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