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SUMMARY:Patrick Bieker (Massachusetts Institute of Technology)
DTSTART:20241126T210000Z
DTEND:20241126T220000Z
DTSTAMP:20260423T130712Z
UID:MITNT/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/104/">
 Heegner-Drinfeld cycles and a higher Gross-Zagier formula at deeper level<
 /a>\nby Patrick Bieker (Massachusetts Institute of Technology) as part of 
 MIT number theory seminar\n\nLecture held in Room 2-449 in the Simons Buil
 ding (building 2).\n\nAbstract\nBy work of Yun-Zhang the self-intersection
  number of Heegner-Drifeld cycles on moduli spaces of shtukas at Iwahori-l
 evel is related to (higher) derivatives of certain $L$-functions\, providi
 ng a vast generalization of the Gross-Zagier formula in the function field
  setting. \n\nIn this talk\, I will discuss integral models for certain de
 eper level structures (like arbitrary\, i.e. possibly deeper than Iwahori\
 , $\\Gamma_0(\\Sigma)$-level) and explain how to construct Heegner-Drinfel
 d cycles on them in order to formulate a generalization of the higher GZ-f
 ormula.\n\nThis is partially based on joint work in progress with Zhiwei Y
 un.\n
LOCATION:https://researchseminars.org/talk/MITNT/104/
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