On the enhanced Shahidi conjecture and global applications
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911924779745280 |
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| author | Hazeltine, Alexander Liu, Baiying Lo, Chi-Heng |
| author_facet | Hazeltine, Alexander Liu, Baiying Lo, Chi-Heng |
| contents | In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packets. We also classify unramified representations of Arthur type for G_n, and show that they lie in exactly one local Arthur packet, which is anti-generic. Then, we discuss the global applications of these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the enhanced Shahidi conjecture and global applications Hazeltine, Alexander Liu, Baiying Lo, Chi-Heng Representation Theory Number Theory In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packets. We also classify unramified representations of Arthur type for G_n, and show that they lie in exactly one local Arthur packet, which is anti-generic. Then, we discuss the global applications of these results. |
| title | On the enhanced Shahidi conjecture and global applications |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2404.05773 |