{"id":"W2481891504","doi":"10.1090/fim/020/46","title":"The Langlands-Tunnell theorem","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University; University of Toronto","funders":"","keywords":"Mathematics; Langlands program; Langlands dual group; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000562179,0.0006922141,0.001041424,0.00003374041,0.0004658029,0.0001081316,0.0007130189,0.0003128436,0.0002933062],"category_scores_gemma":[0.0002362467,0.0004350814,0.001079135,0.000048925,0.001521906,0.00003053415,0.0001947465,0.0009729572,0.000479449],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001202836,"about_ca_system_score_gemma":0.00007556433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.049496e-7,"about_ca_topic_score_gemma":0.000003608441,"domain_scores_codex":[0.9972558,0.00003900031,0.0007439726,0.0005338973,0.0007313258,0.0006960142],"domain_scores_gemma":[0.9949797,0.002832311,0.0006816058,0.001152326,0.0001124527,0.0002415809],"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":[0.00001064809,0.00002540243,5.299002e-7,0.00008031267,0.000217404,0.000009035228,0.0004415087,1.220271e-7,0.0000066261,0.9219153,0.01183597,0.06545714],"study_design_scores_gemma":[0.0001838843,0.0001197544,0.000001309082,0.0001543056,0.0001706869,0.00002447496,0.0003299568,0.00003598075,0.00003010082,0.86133,0.1371341,0.000485394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001626328,0.0001901833,0.006202525,0.0005020882,0.000077411,0.0005562871,0.00002658926,0.0003566548,0.9919257],"genre_scores_gemma":[0.002310197,0.0001794896,0.01817424,0.001344862,0.0005923,0.00003917324,0.00001279161,0.0002308035,0.9771162],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1252982,"threshold_uncertainty_score":0.9998101,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01996872571354164,"score_gpt":0.2752919764876338,"score_spread":0.2553232507740921,"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."}}