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SUMMARY:Gonzalo Tornaria (Universidad de la República)
DTSTART:20211117T160000Z
DTEND:20211117T170000Z
DTSTAMP:20260423T021424Z
UID:hnts/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/46/">Qu
 inary forms and paramodular forms</a>\nby Gonzalo Tornaria (Universidad de
  la República) as part of Heilbronn number theory seminar\n\n\nAbstract\n
 The goal of this talk is to explain how one can use orthogonal modular\nfo
 rms to find and prove congruences between paramodular forms.\n\nIn the fir
 st part of the talk I will give a brief review of orthogonal\nmodular form
 s and how the case of SO(5) can be used to compute\nparamodular forms\, ba
 sed on recent work of Rama-T\, Rösner-Weissauer\,\nDummigan-Pacetti-Rama-
 T.\n\nIn the second part of the talk I will explain how we use orthogonal\
 nmodular forms to prove congruences of paramodular forms\, including\nexam
 ples of Fretwell and of Golyshev. A key ingredient for this is\nthe unexpe
 cted appearance of orthogonal eigenforms which /do not/\ncorrespond to par
 amodular forms (see Rama-T in ANTS 2020).\n
LOCATION:https://researchseminars.org/talk/hnts/46/
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