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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.18212 |
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| _version_ | 1866910461059923968 |
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| author | Chen, Eric Y. Venkatesh, Akshay |
| author_facet | Chen, Eric Y. Venkatesh, Akshay |
| contents | Relative Langlands duality structures the study of automorphic periods around a putative duality between certain group actions of Langlands dual reductive groups.
In this article, after giving a self-contained exposition of the relevant ingredients from relative Langlands duality, we examine this proposal for some interesting pairs of singular spaces: one pair arising from the cone of nilpotent (3 x 3)-matrices, and the other pair arising from the nilpotent cone of (2,2,2)-tensors. These relate, respectively, to Rankin--Selberg integrals discovered by Ginzburg and Garrett. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Singular Examples of Relative Langlands Duality Chen, Eric Y. Venkatesh, Akshay Number Theory Algebraic Geometry Relative Langlands duality structures the study of automorphic periods around a putative duality between certain group actions of Langlands dual reductive groups. In this article, after giving a self-contained exposition of the relevant ingredients from relative Langlands duality, we examine this proposal for some interesting pairs of singular spaces: one pair arising from the cone of nilpotent (3 x 3)-matrices, and the other pair arising from the nilpotent cone of (2,2,2)-tensors. These relate, respectively, to Rankin--Selberg integrals discovered by Ginzburg and Garrett. |
| title | Some Singular Examples of Relative Langlands Duality |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2405.18212 |