{"id":"https://openalex.org/W34173985","doi":null,"title":"Gauge Theory and the Geometric Langlands Program","display_name":"Gauge Theory and the Geometric Langlands Program","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W34173985","mag":"34173985"},"language":"en","primary_location":{"id":"mag:34173985","doi":null,"is_oa":false,"landing_page_url":"http://insti.physics.sunysb.edu/ITP/conf/simonswork3/talks/Witten.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032512426","display_name":"Edward Witten","orcid":"https://orcid.org/0000-0002-7752-6073","observed_orcids":["https://orcid.org/0000-0002-7752-6073"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Edward Witten","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7752-6073","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5032512426"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1028,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66855816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geometric-langlands-program","display_name":"geometric Langlands program","score":0.8479999899864197},{"id":"https://openalex.org/keywords/gauge-theory","display_name":"gauge theory","score":0.921999990940094},{"id":"https://openalex.org/keywords/langlands-duality","display_name":"Langlands duality","score":0.9010000228881836},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.8949999809265137},{"id":"https://openalex.org/keywords/quadratic-reciprocity","display_name":"quadratic reciprocity","score":0.9390000104904175},{"id":"https://openalex.org/keywords/fermat-s-last-theorem","display_name":"Fermat's Last Theorem","score":0.9549999833106995},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"mathematical physics","score":0.3779999911785126}],"concepts":[{"id":"https://openalex.org/C31671712","wikidata":"https://www.wikidata.org/wiki/Q1393253","display_name":"Langlands program","level":3,"score":0.9784092307090759},{"id":"https://openalex.org/C168393982","wikidata":"https://www.wikidata.org/wiki/Q6486188","display_name":"Langlands dual group","level":3,"score":0.8595203161239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.561353325843811},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.46945375204086304},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42480599880218506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23652830719947815},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.2147139012813568}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:34173985","doi":null,"is_oa":false,"landing_page_url":"http://insti.physics.sunysb.edu/ITP/conf/simonswork3/talks/Witten.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1499801833","https://openalex.org/W1506066025","https://openalex.org/W1570103386","https://openalex.org/W1878693424","https://openalex.org/W1913527783","https://openalex.org/W1975240382","https://openalex.org/W1992498549","https://openalex.org/W1993820146","https://openalex.org/W2006554783","https://openalex.org/W2009727749","https://openalex.org/W2016646028","https://openalex.org/W2023114458","https://openalex.org/W2028296198","https://openalex.org/W2033131771","https://openalex.org/W2033186920","https://openalex.org/W2034570138","https://openalex.org/W2059371695","https://openalex.org/W2062009667","https://openalex.org/W2067732336","https://openalex.org/W2081343451","https://openalex.org/W2106586200","https://openalex.org/W2112842519","https://openalex.org/W2119746812","https://openalex.org/W2127831740","https://openalex.org/W2134391819","https://openalex.org/W2150379145","https://openalex.org/W2898131869","https://openalex.org/W2952719166","https://openalex.org/W2974245363"],"related_works":["https://openalex.org/W2139793586","https://openalex.org/W2145812276","https://openalex.org/W1552934191","https://openalex.org/W7221441064","https://openalex.org/W6968140955","https://openalex.org/W7221819175","https://openalex.org/W2536639983","https://openalex.org/W57350077","https://openalex.org/W2184545642","https://openalex.org/W7214783337"],"abstract_inverted_index":{"The":[0],"Langlands":[1,11,73,87],"program":[2],"of":[3,33,49,60,68,71,85],"number":[4,40],"theory,":[5],"or":[6,17],"what":[7],"we":[8],"might":[9],"call":[10],"duality,":[12],"was":[13],"proposed":[14],"in":[15,25,39],"more":[16],"less":[18],"its":[19],"present":[20],"form":[21],"by":[22],"Robert":[23],"Langlands,":[24],"the":[26,72,86],"late":[27],"1960s.":[28],"It":[29],"is":[30,47],"a":[31,66],"kind":[32],"unified":[34],"scheme":[35],"for":[36],"many":[37],"results":[38,54],"theory":[41],"ranging":[42],"from":[43],"quadratic":[44],"reciprocity,":[45],"which":[46,64],"hundreds":[48],"years":[50],"old,":[51],"to":[52],"modern":[53],"such":[55],"as":[56],"Andrew":[57],"Wiles\u2019":[58],"proof":[59],"Fermat\u2019s":[61],"last":[62],"theorem,":[63],"involved":[65],"sort":[67],"special":[69],"case":[70],"program.":[74,88],"For":[75],"today,":[76],"however,":[77],"I":[78],"will":[79],"not":[80],"assume":[81],"any":[82],"prior":[83],"knowledge":[84]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}