Non-vanishing of quantum geometric Whittaker coefficients
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915464365473792 |
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| author | Bogdanova, Ekaterina |
| author_facet | Bogdanova, Ekaterina |
| contents | 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 $\checkΛ^+$-valued divisor under some hypothesis on singular support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-vanishing of quantum geometric Whittaker coefficients Bogdanova, Ekaterina Representation Theory Algebraic Geometry 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 $\checkΛ^+$-valued divisor under some hypothesis on singular support. |
| title | Non-vanishing of quantum geometric Whittaker coefficients |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2508.19058 |