Editing Langlands program (section)

===Fundamental lemma===
{{main|Fundamental lemma (Langlands program)}}

In 2008, [[Ngô Bảo Châu]] proved the "[[Fundamental lemma (Langlands program)|fundamental lemma]]", which was originally conjectured by Langlands and Shelstad in 1983 and being required in the proof of some important conjectures in the Langlands program.<ref>{{cite journal |first=Ngô Bảo |last=Châu |author-link=Ngô Bảo Châu |year=2010 |title=Le lemme fondamental pour les algèbres de Lie |journal=Publications Mathématiques de l'IHÉS |volume=111 |pages=1–169|doi=10.1007/s10240-010-0026-7 |arxiv=0801.0446 |s2cid=118103635 }}</ref><ref>{{cite journal |last1=Langlands |first1=Robert P. |title=Les débuts d'une formule des traces stable |url=http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/endoscopy.html#debuts |publisher=Université de Paris |department=U.E.R. de Mathématiques |location=Paris |journal=Publications Mathématiques de l'Université Paris [Mathematical Publications of the University of Paris] |volume=VII |mr=697567 |year=1983 |issue=13}}</ref>