See Langlands programme on Wiktionary
{
"etymology_text": "Named after Canadian mathematician Robert Langlands, who proposed it in 1967 (privately) and publicly in 1970.",
"head_templates": [
{
"args": {},
"expansion": "Langlands programme",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "68 32",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "64 36",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "59 41",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "62 38",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "64 36",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "2009, Clifton Cunningham, Monica Nevins (editors), Ottawa Lectures on Admissible Representations of Reductive p-adic Groups, American Mathematical Society, Fields Institute for Research in Mathematical Sciences, page xii,\nThe Langlands Programme gives the study of representations of p-adic groups context and relevance, without which it almost certainly would not have enjoyed such a rich half-century of research.\nAs we are reminded in Chapter 4, one should never forget that the study of representations of p-adic groups is inextricably linked with harmonic analysis. The Langlands Programme gives us a beautiful illustration of this fact."
},
{
"text": "2014, Michael Francis Atiyah, Collected Works, Volume 7: 2002—2013, Oxford University Press (Oxford Science Publications), page 233,\nThe Langlands programme is a large programme which, if completed, will give a very satisfactory answer to the question of how to extend abelian class field theory to the general case of non-abelian extensions. It is a very big programme, that in many ways has only just started, and in it a fundamental role is played by complex linear representations of the Galois groups of algebraic extensions."
},
{
"ref": "2019, Graham Farmelo, The Universe Speaks in Numbers, Faber & Faber, unnumbered page:",
"text": "Quickly recognised as an imaginative vision, the so-called Langlands programme has been a bountiful source of ideas and might conceivably lead one day to a unified approach to mathematics.",
"type": "quote"
}
],
"glosses": [
"A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry."
],
"id": "en-Langlands_programme-en-name-ZwurkybZ",
"links": [
[
"mathematics",
"mathematics"
],
[
"conjecture",
"conjecture"
],
[
"number theory",
"number theory"
],
[
"geometry",
"geometry"
]
],
"raw_glosses": [
"(mathematics) A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry."
],
"synonyms": [
{
"_dis1": "57 43",
"word": "Langlands program"
}
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "set of conjectures connecting number theory with geometry",
"tags": [
"masculine"
],
"word": "programme de Langlands"
},
{
"code": "de",
"lang": "German",
"sense": "set of conjectures connecting number theory with geometry",
"tags": [
"neuter"
],
"word": "Langlands-Programm"
}
]
}
],
"wikipedia": [
"Langlands programme",
"Robert Langlands"
],
"word": "Langlands programme"
}
{
"etymology_text": "Named after Canadian mathematician Robert Langlands, who proposed it in 1967 (privately) and publicly in 1970.",
"forms": [
{
"form": "Langlands programmes",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Langlands programme (plural Langlands programmes)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"examples": [
{
"text": "p-adic Langlands programme"
},
{
"text": "modulo p Langlands programme"
}
],
"glosses": [
"Any of several similar sets of conjectures applicable to restricted domains of number theory and/or geometry."
],
"id": "en-Langlands_programme-en-noun-3bDcdPhs",
"links": [
[
"mathematics",
"mathematics"
]
],
"raw_glosses": [
"(mathematics) Any of several similar sets of conjectures applicable to restricted domains of number theory and/or geometry."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"wikipedia": [
"Langlands programme",
"Robert Langlands"
],
"word": "Langlands programme"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"English proper nouns",
"English uncountable nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with French translations",
"Terms with German translations"
],
"etymology_text": "Named after Canadian mathematician Robert Langlands, who proposed it in 1967 (privately) and publicly in 1970.",
"head_templates": [
{
"args": {},
"expansion": "Langlands programme",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
"English terms with quotations",
"en:Mathematics"
],
"examples": [
{
"text": "2009, Clifton Cunningham, Monica Nevins (editors), Ottawa Lectures on Admissible Representations of Reductive p-adic Groups, American Mathematical Society, Fields Institute for Research in Mathematical Sciences, page xii,\nThe Langlands Programme gives the study of representations of p-adic groups context and relevance, without which it almost certainly would not have enjoyed such a rich half-century of research.\nAs we are reminded in Chapter 4, one should never forget that the study of representations of p-adic groups is inextricably linked with harmonic analysis. The Langlands Programme gives us a beautiful illustration of this fact."
},
{
"text": "2014, Michael Francis Atiyah, Collected Works, Volume 7: 2002—2013, Oxford University Press (Oxford Science Publications), page 233,\nThe Langlands programme is a large programme which, if completed, will give a very satisfactory answer to the question of how to extend abelian class field theory to the general case of non-abelian extensions. It is a very big programme, that in many ways has only just started, and in it a fundamental role is played by complex linear representations of the Galois groups of algebraic extensions."
},
{
"ref": "2019, Graham Farmelo, The Universe Speaks in Numbers, Faber & Faber, unnumbered page:",
"text": "Quickly recognised as an imaginative vision, the so-called Langlands programme has been a bountiful source of ideas and might conceivably lead one day to a unified approach to mathematics.",
"type": "quote"
}
],
"glosses": [
"A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"conjecture",
"conjecture"
],
[
"number theory",
"number theory"
],
[
"geometry",
"geometry"
]
],
"raw_glosses": [
"(mathematics) A set of interconnected, far-reaching and consequential conjectures connecting number theory with geometry."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "Langlands program"
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "set of conjectures connecting number theory with geometry",
"tags": [
"masculine"
],
"word": "programme de Langlands"
},
{
"code": "de",
"lang": "German",
"sense": "set of conjectures connecting number theory with geometry",
"tags": [
"neuter"
],
"word": "Langlands-Programm"
}
],
"wikipedia": [
"Langlands programme",
"Robert Langlands"
],
"word": "Langlands programme"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"English proper nouns",
"English uncountable nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with French translations",
"Terms with German translations"
],
"etymology_text": "Named after Canadian mathematician Robert Langlands, who proposed it in 1967 (privately) and publicly in 1970.",
"forms": [
{
"form": "Langlands programmes",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Langlands programme (plural Langlands programmes)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Mathematics"
],
"examples": [
{
"text": "p-adic Langlands programme"
},
{
"text": "modulo p Langlands programme"
}
],
"glosses": [
"Any of several similar sets of conjectures applicable to restricted domains of number theory and/or geometry."
],
"links": [
[
"mathematics",
"mathematics"
]
],
"raw_glosses": [
"(mathematics) Any of several similar sets of conjectures applicable to restricted domains of number theory and/or geometry."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "Langlands program"
}
],
"wikipedia": [
"Langlands programme",
"Robert Langlands"
],
"word": "Langlands programme"
}
Download raw JSONL data for Langlands programme meaning in All languages combined (4.4kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.