{"paper":{"title":"Affine Springer fibers and depth zero L-packets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Roman Bezrukavnikov, Yakov Varshavsky","submitted_at":"2021-04-27T11:55:54Z","abstract_excerpt":"Let $G$ be a connected reductive group over a field $F=\\mathbb{F}_q((t))$ splitting over $\\overline{\\mathbb{F}}_q((t))$. Following [KV,DR], a tamely unramified Langlands parameter $\\lambda:W_F\\to{}^L G(\\overline{\\mathbb{Q}}_{\\ell})$ in general position gives rise to a finite set $\\Pi_{\\lambda}$ of irreducible admissible representations of $G(F)$, called the $L$-packet.\n  The main goal of this work is to provide a geometric description of characters $\\chi_{\\pi}$ of $\\pi\\in\\Pi_{\\lambda}$ and of their endoscopic linear combinations $\\chi_{\\lambda}^{\\kappa}$ in terms of homology of affine Springer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13123","kind":"arxiv","version":3},"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/2104.13123/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"}