Categorification of local relative Langlands duality
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912802778644480 |
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| author | Takaya, Yuta Lin, Milton |
| author_facet | Takaya, Yuta Lin, Milton |
| contents | We formulate the normalized period conjecture proposed by Ben-Zvi, Sakellaridis and Venkatesh in the framework of the categorical local Langlands correspondence and study its relation to distinction problems. Motivated by the work of Feng and Wang in the geometric setting, we verify the conjecture for the Iwasawa-Tate and Hecke periods, assuming the existence of the categorical local Langlands correspondence for $\mathrm{GL}_2$ with the Eisenstein compatibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02258 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Categorification of local relative Langlands duality Takaya, Yuta Lin, Milton Representation Theory Number Theory We formulate the normalized period conjecture proposed by Ben-Zvi, Sakellaridis and Venkatesh in the framework of the categorical local Langlands correspondence and study its relation to distinction problems. Motivated by the work of Feng and Wang in the geometric setting, we verify the conjecture for the Iwasawa-Tate and Hecke periods, assuming the existence of the categorical local Langlands correspondence for $\mathrm{GL}_2$ with the Eisenstein compatibility. |
| title | Categorification of local relative Langlands duality |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2601.02258 |