Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms
نویسنده
چکیده
We review some recent results on the arithmetic of the theta correspondence for certain symplectic-orthogonal dual pairs and some applications to periods and congruences of modular forms. We also propose an integral version of a conjecture on Petersson inner products of modular forms on quaternion algebras over totally real fields.
منابع مشابه
Arithmetic aspects of the theta correspondence
We review some recent results on the arithmetic of the theta correspondence for certain symplectic-orthogonal dual pairs and some applications to periods and congruences of modular forms.
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