{"paper":{"title":"The $\\ell$-modular local Langlands correspondence and local factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Nadir Matringe, Robert Kurinczuk","submitted_at":"2018-05-15T16:22:44Z","abstract_excerpt":"Let $F$ be a non-archimedean local field of residual characteristic $p$, $\\ell\\neq p$ be a prime number, and $\\mathrm{W}_F$ the Weil group of $F$. We classify the indecomposable $\\mathrm{W}_F$-semisimple Deligne $\\overline{\\mathbb{F}_\\ell}$-representations in terms of the irreducible $\\overline{\\mathbb{F}_\\ell}$-representations of $\\mathrm{W}_F$, and extend constructions of Artin-Deligne local factors to this setting. Finally, we define a variant of the $\\ell$-modular local Langlands correspondence which satisfies a preservation of local factors statement for generic representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05888","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":""},"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"}