{"id":"W2057333809","doi":"10.1007/s11856-009-0024-y","title":"Perverse sheaves on affine flags and langlands dual group","year":2009,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Langlands dual group; Mathematics; Pure mathematics; Langlands program; Generalized flag variety; Group (periodic table); Algebra over a field; Formal group; Algebraic group; Affine transformation; Algebraic number; Lie group; Mathematical analysis; Automorphic form","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008565137,0.0009603061,0.000913878,0.004378018,0.002919981,0.004213515,0.0008747301,0.001423053,0.006874587],"category_scores_gemma":[0.00143616,0.0006372486,0.0007604017,0.00192321,0.004501599,0.005521941,0.00259262,0.002634594,0.0007584048],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00180387,"about_ca_system_score_gemma":0.0006022407,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001208058,"about_ca_topic_score_gemma":0.001248691,"domain_scores_codex":[0.9994932,0.0001120535,0.00002374588,0.00009252011,0.0001246137,0.0001538286],"domain_scores_gemma":[0.9990048,0.0002707322,0.0002361918,0.00007837755,0.0001049752,0.0003050003],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006735935,0.00005060324,0.0005479847,0.0000192735,0.000009429955,0.0001541137,0.0005518856,0.0004169725,0.0007385937,0.994833,0.0003623153,0.002248397],"study_design_scores_gemma":[0.00003683449,0.00004660052,0.0007589004,0.00001258939,0.00001434938,0.0002180853,0.0003491616,0.001524709,0.000362244,0.9946111,0.002042534,0.00002289729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.911541,0.0008792137,0.01803863,0.001799499,0.0002478548,0.0000366383,0.0002164625,0.000143171,0.06709753],"genre_scores_gemma":[0.982093,0.0003489264,0.001932265,0.0001539471,0.0002340888,0.00002226877,0.0001345806,0.00002413088,0.0150569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006874587,"threshold_uncertainty_score":0.0229978,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0259829194944874,"score_gpt":0.2856429351700522,"score_spread":0.2596600156755648,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}