Vincent Lafforgue
{{short description|French mathematician}}
{{Infobox scientist
| name = Vincent Lafforgue
| image = ICM 2018 Vincent Lafforgue.jpg
| image_size =
| caption = Lafforgue at the ICM 2018
| birth_date = {{birth date and age|1974|01|20|df=yes}}
| birth_place = Antony, France
| death_date =
| death_place =
| nationality = French
| fields = Mathematics
| workplaces = Université Grenoble Alpes
| education = Lycée Louis-le-Grand
| alma_mater = École normale supérieure
University of Paris
| doctoral_advisor = Jean-Benoît Bost
| doctoral_students =
| known_for =
| awards = EMS Prize (2000)
CNRS Silver Medal (2015)
Breakthrough Prize in Mathematics (2019)
}}
Vincent Lafforgue (born 20 January 1974) is a French mathematician who is active in algebraic geometry, especially in the Langlands program,[http://vlafforg.perso.math.cnrs.fr/files/cht-ICM-lafforgue.pdf Shtukas for reductive groups and Langlands correspondence for function fields] Vincent Lafforgue, March, 2017 and a CNRS "Directeur de Recherches" at the Institute Fourier in Grenoble. He is the younger brother of Fields Medalist Laurent Lafforgue.
Awards
Lafforgue was awarded the 2000 EMS Prize for his contribution to the K-theory of operator algebras: the proof of the Baum–Connes conjecture for discrete co-compact subgroups of , , and some other locally compact groups, and of more general objects. He participated in the International Mathematical Olympiad and wrote two perfect papers in 1990 and 1991, making him one of only three French mathematicians to win two gold medals (besides Joseph Najnudel, 1997–98, and Aurélien Fourré, 2020-21).{{IMO results |id=2398}} Lafforgue was an Invited Speaker of the ICM in 2002 in Beijing, China {{cite book|author=V. Lafforgue|title=Proceedings of the International Congress of Mathematicians (Beijing, 2002)|publisher=Higher Ed. Press|year=2002|volume=II|location=Beijing|pages=795–812|chapter=Banach KK-theory and the Baum-Connes Conjecture|chapter-url=http://www.mathunion.org/ICM/ICM2002.2/Main/icm2002.2.0795.0812.ocr.pdf}}
and a Plenary Speaker of the ICM in 2018 in Rio de Janeiro, Brazil.{{cite arXiv |first=V. |last=Lafforgue |title=Shtukas for reductive groups and Langlands correspondence for function fields |year=2018 |class=math.AG |eprint=1803.03791 }} He was awarded the 2019 Breakthrough Prize in Mathematics[https://irishtechnews.ie/winners-of-the-2019-breakthrough-prize-in-life-sciences-fundamental-physics-and-mathematics-announced/ Winners of the 2019 Breakthrough Prize in Mathematics Announced] Irish Tech News, October 18, 2018
for his "elegant and groundbreaking contributions to the Langlands program in the function field case",
namely for establishing the Langlands Correspondence (the direction from automorphic forms to Galois representations) for connected reductive groups defined over global function fields.
{{cite book|author=V. Lafforgue|title=Journal of the American Mathematical Society (2018)|year=2018|volume=31|pages=719–891|chapter=Chtoucas pour les groupes réductifs et paramétrisation de Langlands|chapter-url=https://www.ams.org/journals/jams/2018-31-03/}}(arXiv:1209.5352)B. Stroh(2016), "La paramétrisation de Langlands globale sur les corps des fonctions (d'après Vincent Lafforgue)", Séminaire Bourbaki 68ème année, 2015-2016, no. 1110, Janvier 2016.
(https://webusers.imj-prg.fr/~benoit.stroh/bourbaki.pdf)
References
{{Reflist|30em}}
External links
- [http://vlafforg.perso.math.cnrs.fr/ Personal webpage]
- {{MathGenealogy |id=86461 }}
{{Breakthrough Prize laureates}}
{{Authority control}}
{{DEFAULTSORT:Lafforgue, Vincent}}
Category:20th-century French mathematicians
Category:21st-century French mathematicians
Category:Lycée Louis-le-Grand alumni
Category:École Normale Supérieure alumni
Category:University of Paris alumni
Category:International Mathematical Olympiad participants
Category:People from Antony, Hauts-de-Seine
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