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SUMMARY:Yingkun Li (TU Darmstadt)
DTSTART:20210212T153000Z
DTEND:20210212T170000Z
DTSTAMP:20260423T004656Z
UID:CAFAS/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/17/">I
 ntegrality of regularized Petersson inner product</a>\nby Yingkun Li (TU D
 armstadt) as part of Columbia Automorphic Forms and Arithmetic Seminar\n\n
 \nAbstract\nPetersson inner products of classical cusp forms contain\nimpo
 rtant arithmetic information\, such as congruences of modular forms.\nWhen
  the cusp forms are replaced by meromorphic modular form\, the\nPetersson 
 inner product can still be defined and calculated after suitable\nregulari
 zation. It turns out these regularized inner product also carry\ninteresti
 ng arithmetic information\, such as special values of derivatives\nof L-fu
 nction. In this talk\, we will recall some of these results\, and\ndiscuss
  a joint work with Markus Schwagenscheidt from ETH\, where we\nobtained an
  integrality result of such regularized inner products\ninvolving unary th
 eta functions.\n
LOCATION:https://researchseminars.org/talk/CAFAS/17/
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