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arXiv · 2208.08716

A motivic interpretation of Whittaker periods for $\mathrm{GL}_n$

Takashi Hara·Kenichi Namikawa
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Abstract

Admitting the existence of conjectural motives attached to cohomological irreducible cuspidal automorphic representations of $\mathrm{GL}_n$, we write down Raghuram and Shahidi's Whittaker periods in terms of Yoshida's fundamental periods when the base field is a totally real number field or a CM field.

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Takashi Hara, Kenichi Namikawa. 2022-08-18. A motivic interpretation of Whittaker periods for $\mathrm{GL}_n$. https://arxiv.org/abs/2208.08716

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