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SUMMARY:Benjamin Howard (Boston College)
DTSTART:20210225T220000Z
DTEND:20210225T230000Z
DTSTAMP:20260423T024023Z
UID:JNTS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/14/">AR
 ITHMETIC VOLUMES OF UNITARY SHIMURA VARIETIES</a>\nby Benjamin Howard (Bos
 ton College) as part of Columbia CUNY NYU number theory seminar\n\n\nAbstr
 act\nThe integral model of a GU$(n-1\,1)$ Shimura variety carries a natura
 l metrized line bundle of modular forms.  Viewing this metrized line bundl
 e as a class in the codimension one arithmetic Chow group\, one can define
  its arithmetic volume as an iterated self-intersection.  We show that thi
 s volume can be expressed in terms of logarithmic derivatives of L-functio
 ns at integer points.  This is joint work with Jan Bruinier.\n
LOCATION:https://researchseminars.org/talk/JNTS/14/
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