{"paper":{"title":"Towards the Relative Langlands Duality for Orthosymplectic Pairs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Dor Mezer","submitted_at":"2026-06-02T05:46:45Z","abstract_excerpt":"In this paper we prove a conjectured equivalence of categories, showing that the S-dual of $\\mathrm{SO}_{2n}\\times \\mathrm{Sp}_{2n}$ acting on $\\mathbb{C}_+^{2n}\\otimes \\mathbb{C}_-^{2n}$ is equal to $\\mathrm{SO}_{2n+1}\\times \\mathrm{SO}_{2n}\\circlearrowright T^*\\mathrm{SO}_{2n+1}$. This result is a particular case of a non-polarized version of the (local) relative Langlands duality of Ben Zvi, Sakellaridis and Venkatesh. Similar results for the pairs $(\\mathrm{SO}_{2n+1}, \\mathrm{Sp}_{2n})$ and $(\\mathrm{GL}_n, \\mathrm{GL}_m)$ were proved by Braverman, Finkelberg, Kazhdan and Travkin and by F"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03187","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.03187/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}