Fundamental lemma (Langlands program)

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Fundamental lemma (Langlands program)

Quality:

Fundamental lemma of Langlands and Shelstad - theorem relating orbital integrals on a reductive group over a local field to stable orbital integrals on its endoscopic groups, conjectured by Langlands and proven by Ngô. Article "Fundamental lemma (Langlands program)" in English Wikipedia has 18.8 points for quality (as of July 1, 2025). The article contains 6 references and 6 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Fundamental lemma (Langlands program)", its content was written by 30 registered users of English Wikipedia and edited by 41 registered Wikipedia users in all languages.

The article is cited 30 times in English Wikipedia and cited 45 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #28248 in December 2009
  • Global: #112719 in December 2009

The highest popularity rank from 2008:

  • Local (English): #60054 in August 2010
  • Global: #100891 in August 2010

There are 3 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Fundamental lemma (Langlands program)
18.8129
2Ukrainian (uk)
Фундаментальна лема
13.7398
3French (fr)
Lemme fondamental (programme de Langlands)
10.7656
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Fundamental lemma (Langlands program)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental lemma (Langlands program)
269 624
2French (fr)
Lemme fondamental (programme de Langlands)
1 644
3Ukrainian (uk)
Фундаментальна лема
273
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Fundamental lemma (Langlands program)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental lemma (Langlands program)
1 445
2French (fr)
Lemme fondamental (programme de Langlands)
81
3Ukrainian (uk)
Фундаментальна лема
14
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Fundamental lemma (Langlands program)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fundamental lemma (Langlands program)
30
2Ukrainian (uk)
Фундаментальна лема
6
3French (fr)
Lemme fondamental (programme de Langlands)
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Fundamental lemma (Langlands program)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fundamental lemma (Langlands program)
0
2French (fr)
Lemme fondamental (programme de Langlands)
0
3Ukrainian (uk)
Фундаментальна лема
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Fundamental lemma (Langlands program)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fundamental lemma (Langlands program)
30
2French (fr)
Lemme fondamental (programme de Langlands)
11
3Ukrainian (uk)
Фундаментальна лема
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Fundamental lemma (Langlands program)
frFrench
Lemme fondamental (programme de Langlands)
ukUkrainian
Фундаментальна лема

Popularity rank trends

Best Rank English:
#60054
08.2010
Global:
#100891
08.2010

AI rank trends

Best Rank English:
#28248
12.2009
Global:
#112719
12.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fundamental lemma of Langlands and Shelstad from Wikipedia articles about Langlands program, Ngô Bảo Châu, Fields medal, Vietnam and Thomas Callister Hales. Whereas reading the article about Fundamental lemma of Langlands and Shelstad people most often go to Wikipedia articles on Ngô Bảo Châu, Langlands program, Automorphic form, Endoscopic group and Hitchin system.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information