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arXiv · 2508.19058

Non-vanishing of quantum geometric Whittaker coefficients

Ekaterina Bogdanova
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Abstract

We prove that for any reductive group $G$ of adjoint type cuspidal automorphic twisted D-modules have non-vanishing quantum Whittaker coefficients. The argument provides a microlocal interpretation of quantum Whittaker coefficients for any $\check{\Lambda}^+$-valued divisor under some hypothesis on singular support.

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BibTeXRIS

Ekaterina Bogdanova. 2025-08-26. Non-vanishing of quantum geometric Whittaker coefficients. https://arxiv.org/abs/2508.19058

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