Gonzalo Tornaria

Universidad de la República

Quinary forms and paramodular forms

Heilbronn Number Theory Seminar

17th November 2021, 4:00 pm – 5:00 pm
, online

The goal of this talk is to explain how one can use orthogonal modular
forms to find and prove congruences between paramodular forms.

In the first part of the talk I will give a brief review of orthogonal
modular forms and how the case of SO(5) can be used to compute
paramodular forms, based on recent work of Rama-T, Rösner-Weissauer,

In the second part of the talk I will explain how we use orthogonal
modular forms to prove congruences of paramodular forms, including
examples of Fretwell and of Golyshev. A key ingredient for this is
the unexpected appearance of orthogonal eigenforms which /do not/
correspond to paramodular forms (see Rama-T in ANTS 2020).

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