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SUMMARY:Congling Qiu (Yale)
DTSTART:20221025T203000Z
DTEND:20221025T213000Z
DTSTAMP:20260423T130021Z
UID:MITNT/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/59/">A
 rithmetic mixed Siegel-Weil formulas and modular form of arithmetic diviso
 rs</a>\nby Congling Qiu (Yale) as part of MIT number theory seminar\n\nLec
 ture held in Room 2-143 in the Simons Building (building 2).\n\nAbstract\n
 The classical Siegel–Weil formula  relates  theta series to  Eisenstein 
 series and its arithmetic version is central in Kudla's program. I will di
 scuss arithmetic mixed Siegel-Weil formulas. I will focus on the one in th
 e work of Gross and Zagier\, and the one in my recent work. As an applicat
 ion\, I obtained modular  generating series of arithmetic extensions of Ku
 dla's special divisors for unitary Shimura varieties over CM fields with a
 rbitrary split level. This provides a partial solution to a problem of Kud
 la.\n
LOCATION:https://researchseminars.org/talk/MITNT/59/
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