Geometric Langlands duality for periods
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908417542586368 |
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| author | Feng, Tony Wang, Jonathan |
| author_facet | Feng, Tony Wang, Jonathan |
| contents | We study conjectures of Ben-Zvi--Sakellaridis--Venkatesh that categorify the relationship between automorphic periods and $L$-functions in the context of the Geometric Langlands equivalence. We provide evidence for these conjectures in some low-rank examples, by using derived Fourier analysis and the theory of chiral algebras to categorify the Rankin-Selberg unfolding method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric Langlands duality for periods Feng, Tony Wang, Jonathan Number Theory Algebraic Geometry Representation Theory We study conjectures of Ben-Zvi--Sakellaridis--Venkatesh that categorify the relationship between automorphic periods and $L$-functions in the context of the Geometric Langlands equivalence. We provide evidence for these conjectures in some low-rank examples, by using derived Fourier analysis and the theory of chiral algebras to categorify the Rankin-Selberg unfolding method. |
| title | Geometric Langlands duality for periods |
| topic | Number Theory Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2402.00180 |