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SUMMARY:Finn McGlade (UCSD)
DTSTART:20231114T210000Z
DTEND:20231114T220000Z
DTSTAMP:20260423T024839Z
UID:UAANTS/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/70/">
 A Level 1 Maass Spezialschar for Modular Forms on $\\mathrm{SO}_8$</a>\nby
  Finn McGlade (UCSD) as part of University of Arizona Algebra and Number T
 heory Seminar\n\nLecture held in ENR2 S395.\n\nAbstract\nThe classical Spe
 zialschar is the subspace of the space of holomorphic modular forms on $\\
 mathrm{Sp}_4(\\mathbb{Z})$ whose Fourier coefficients satisfy a particular
  system of linear equations. An equivalent characterization of the Spezial
 schar can be obtained by combining work of Maass\, Andrianov\, and Zagier\
 , whose work identifies the Spezialschar in terms of a theta-lift from $\\
 widetilde{\\mathrm{SL}_2}$. Inspired by work of Gan-Gross-Savin\, Weissman
  and Pollack have developed a theory of modular forms on the split adjoint
  group of type D_4. In this setting we describe an analogue of the classic
 al Spezialschar\, in which Fourier coefficients are used to characterize t
 hose modular forms which arise as theta lifts from holomorphic forms on $\
 \mathrm{Sp}_4(\\mathbb{Z})$.\n
LOCATION:https://researchseminars.org/talk/UAANTS/70/
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